Paper Citation Record · LEDGER

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization

As of 17 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2510.25363.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2510.25363 v3

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:38:38.456026Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:11:47.823246Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

57 of 57 outbound references displayed

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External citation measurements

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Outbound references

Observation 60da4dd5-f6e8-4a7f-8f5d-82121e05826d · outbound

This paper cites Halpernsgd: A halpern-inspired optimizer for accelerated neural network convergence and reduced carbon footprint.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Halpernsgd: A halpern-inspired optimizer for accelerated neural network convergence and reduced carbon footprint

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:33.316314Z

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Observation 2e467eaa-1b89-4977-ac2a-9d83c0167cd2 · outbound

This paper cites An optimizer derived from halpern’s method for enhanced neural network convergence and reduced carbon emissions.Journal of Intelligent Information Systems, pages 1–20, 2025.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization An optimizer derived from halpern’s method for enhanced neural network convergence and reduced carbon emissions.Journal of Intelligent Information Systems, pages 1–20, 2025

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:33.356558Z

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Observation 655a109f-38f8-4a7b-a459-54858a70d5aa · outbound

This paper cites Hyperbolic deep neural networks: A survey.IEEE Transactions on pattern analysis and machine intelligence, 44(12):10023–10044, 2021.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Hyperbolic deep neural networks: A survey.IEEE Transactions on pattern analysis and machine intelligence, 44(12):10023–10044, 2021

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:33.435826Z

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Observation 2935c208-37ea-4734-bb6d-fe56a8432cab · outbound

This paper cites Hyperbolic neural networks.Advances in neural information processing systems, 31, 2018.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Hyperbolic neural networks.Advances in neural information processing systems, 31, 2018

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:33.545877Z

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Observation 4c47a782-c35f-47b3-aac8-c81f6210782a · outbound

This paper cites Geometric deep learning: going beyond euclidean data.IEEE Signal Processing Magazine, 34(4):18–42, 2017.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Geometric deep learning: going beyond euclidean data.IEEE Signal Processing Magazine, 34(4):18–42, 2017

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:33.676830Z

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Observation 5b40d17f-532f-4123-8112-7dc6761c78dd · outbound

This paper cites Representation tradeoffs for hyperbolic embeddings.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Representation tradeoffs for hyperbolic embeddings

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:33.819964Z

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Observation 85ffc187-5fc0-46f0-8b60-722fd0c55b52 · outbound

This paper cites Stochastic gradient descent on riemannian manifolds.IEEE Transactions on Automatic Control, 58(9):2217–2229, 2013.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Stochastic gradient descent on riemannian manifolds.IEEE Transactions on Automatic Control, 58(9):2217–2229, 2013

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:33.953096Z

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Observation 5b59356a-8451-4757-9833-843e181d9f1f · outbound

This paper cites Bridson and André Haefliger.Metric Spaces of Non-Positive Curvature.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Bridson and André Haefliger.Metric Spaces of Non-Positive Curvature

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:34.138416Z

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Observation 298c3ffc-6405-4aa2-8d10-e31e350a8033 · outbound

This paper cites lion-man.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization lion-man

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:34.247253Z

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Observation ff01fd6c-0af3-4ce6-a614-a96eae01d146 · outbound

This paper cites Remarks on some fixed point theorems.Proceedings of the American Mathematical Society, 60(1):179–182, 1976.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Remarks on some fixed point theorems.Proceedings of the American Mathematical Society, 60(1):179–182, 1976

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:34.345714Z

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Observation 3eb176a4-8f03-4de1-8de7-4aa5c2826430 · outbound

This paper cites Fixed points of uniformly lipschitzian mappings.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Fixed points of uniformly lipschitzian mappings

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:34.438420Z

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Observation 5747e2d9-7543-4a16-a770-40d4dafc05d2 · outbound

This paper cites Cat (k)-spaces, weak convergence and fixed points.Journal of Mathematical Analysis and Applications, 353(1):410–427, 2009.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Cat (k)-spaces, weak convergence and fixed points.Journal of Mathematical Analysis and Applications, 353(1):410–427, 2009

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:34.501117Z

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Observation 6fec9964-e67d-463a-a493-fccee8743745 · outbound

This paper cites Geodesic geometry and fixed point theory.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Geodesic geometry and fixed point theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:34.565418Z

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Observation 7f19fb21-fa86-4213-8aeb-b2d321246a9c · outbound

This paper cites Geodesic geometry and fixed point theory II.Fixed Point Theory and Applications, 2004.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Geodesic geometry and fixed point theory II.Fixed Point Theory and Applications, 2004

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:34.615094Z

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Observation e1b75ee2-ac85-4ed2-a611-e03235650481 · outbound

This paper cites The Baillon-Haddad Theorem Revisited.Journal of Convex Analysis, 17(3&4):781–787, 2010.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization The Baillon-Haddad Theorem Revisited.Journal of Convex Analysis, 17(3&4):781–787, 2010

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:34.751805Z

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Observation a00fa835-8e67-4125-a50a-18c3ed755256 · outbound

This paper cites Quelques propriétés des opérateurs angle-bornés et n-cycliquement monotones.Israel Journal of Mathematics, 26:137–150, 1977.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Quelques propriétés des opérateurs angle-bornés et n-cycliquement monotones.Israel Journal of Mathematics, 26:137–150, 1977

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:34.858453Z

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Observation f01bf92b-ac23-49c1-9eed-ff0ccf202d18 · outbound

This paper cites Walter de Gruyter GmbH & Co KG, 2014.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Walter de Gruyter GmbH & Co KG, 2014

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:34.952434Z

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Observation 1edba34c-2ab9-4bba-a01f-0811248f2fb5 · outbound

This paper cites A concept of convergence in geodesic spaces.Nonlinear analysis: theory, methods & applications, 68(12):3689–3696, 2008.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization A concept of convergence in geodesic spaces.Nonlinear analysis: theory, methods & applications, 68(12):3689–3696, 2008

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:35.082735Z

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Observation c95d9aec-3da6-4ef3-9e4f-8cb889c51faa · outbound

This paper cites Nonexpansive nonlinear operators in a banach space.Proceedings of the National Academy of Sciences, 54(4):1041–1044, 1965.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Nonexpansive nonlinear operators in a banach space.Proceedings of the National Academy of Sciences, 54(4):1041–1044, 1965

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:35.205451Z

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Observation 4988a21c-b933-44fb-98c6-97bb43774d15 · outbound

This paper cites an unresolved cited work.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:35.291982Z

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Observation 2488bb09-6e2b-4087-9e8e-2b5386928daa · outbound

This paper cites Monotone operators associated with saddle-functions and minimax problems.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Monotone operators associated with saddle-functions and minimax problems

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:35.408980Z

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Observation 2e2bde47-c740-49b6-a0d1-e9b792d8fb9d · outbound

This paper cites Monotone operators and the proximal point algorithm.SIAM journal on control and optimization, 14(5):877–898, 1976.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Monotone operators and the proximal point algorithm.SIAM journal on control and optimization, 14(5):877–898, 1976

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:35.472044Z

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Observation 970dc829-98fe-421b-bb97-9d0dd51966dc · outbound

This paper cites Chidume.Geometric properties of Banach spaces and nonlinear iterations.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Chidume.Geometric properties of Banach spaces and nonlinear iterations

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:35.554568Z

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Observation 7dbf620d-6813-46d5-8095-2d02b50c57bf · outbound

This paper cites Two observations about the method of succesive approximations.Uspekhi Matematicheskikh Nauk, 10:123–127, 1955.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Two observations about the method of succesive approximations.Uspekhi Matematicheskikh Nauk, 10:123–127, 1955

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:35.642925Z

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Observation dc564af8-b624-4f07-a547-cd80811cad00 · outbound

This paper cites The solution by iteration of nonlinear functional equations in banach spaces.Bulletin of the American Mathematical Society, 72:571–575, 1966.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization The solution by iteration of nonlinear functional equations in banach spaces.Bulletin of the American Mathematical Society, 72:571–575, 1966

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:35.697094Z

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Observation 68afd184-2c0d-44f6-8595-675b6a98b065 · outbound

This paper cites Schaefer.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Schaefer

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:35.787335Z

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Observation 184c41f4-8200-43bb-b248-bf47797ab5cd · outbound

This paper cites Edelstein.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Edelstein

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:35.964509Z

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Observation a440b1c4-024c-4c53-a6e5-cefce0091f64 · outbound

This paper cites On successive approximations for nonexpansive mappings in banach spaces.Glasgow Mathematical Journal, 12(1):6–9, 1971.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization On successive approximations for nonexpansive mappings in banach spaces.Glasgow Mathematical Journal, 12(1):6–9, 1971

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:36.047149Z

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Observation 76f8abbc-2b49-49e0-9494-a3cddd67800a · outbound

This paper cites Genel and J.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Genel and J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:36.119981Z

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Observation 7f5ef33c-1713-455c-91d6-b616f14f1bd5 · outbound

This paper cites Mean value methods in iteration.Proceedings of the American Mathematical Society, 4(3):506– 510, 1953.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Mean value methods in iteration.Proceedings of the American Mathematical Society, 4(3):506– 510, 1953

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:36.186271Z

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Observation 023f7e98-1ba0-4b04-a3bf-2314f772183a · outbound

This paper cites Groetsch.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Groetsch

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:36.238177Z

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Observation 2a30433f-95e4-402b-bed6-f2c251c4213c · outbound

This paper cites Weak convergence theorems for nonexpansive mappings in banach spaces.J.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Weak convergence theorems for nonexpansive mappings in banach spaces.J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:36.305876Z

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Observation 89c36c0e-437b-447d-b92f-81079218e01e · outbound

This paper cites On the convergence of the proximal point algorithm for convex minimization.SIAM journal on control and optimization, 29(2):403–419, 1991.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization On the convergence of the proximal point algorithm for convex minimization.SIAM journal on control and optimization, 29(2):403–419, 1991

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:36.376984Z

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Observation 97e0cb93-217c-4443-9915-5e0010facfd5 · outbound

This paper cites Fixed points and iteration of a nonexpansive mapping in a banach space.Proceedings of the American Mathematical Society, 59(1):65–71, 1976.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Fixed points and iteration of a nonexpansive mapping in a banach space.Proceedings of the American Mathematical Society, 59(1):65–71, 1976

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:36.501965Z

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Observation 993d5128-b232-47bb-bfea-475be76b8b26 · outbound

This paper cites Fixed points of nonexpanding maps.Bulletin of the American Mathematical Society, 73:957– 961, 1967.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Fixed points of nonexpanding maps.Bulletin of the American Mathematical Society, 73:957– 961, 1967

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:36.642245Z

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Observation 4ccd6170-7588-45eb-886e-3cd6356b26b9 · outbound

This paper cites Approximation de points fixes de contradictions.CR Acad.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Approximation de points fixes de contradictions.CR Acad

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:36.796531Z

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Observation 597b5ea0-e9a4-4ea5-bf5b-b28c9ffd1d5c · outbound

This paper cites Approximation of fixed points of nonexpansive mappings.Archiv der mathematik, 58:486–491, 1992.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Approximation of fixed points of nonexpansive mappings.Archiv der mathematik, 58:486–491, 1992

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:36.908385Z

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Observation aae9685a-0120-4601-ad86-edcf92f9425d · outbound

This paper cites Approximating fixed points of nonexpansive mappings.Panamerican Mathematical Journal, 4(2):23–28, 1994.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Approximating fixed points of nonexpansive mappings.Panamerican Mathematical Journal, 4(2):23–28, 1994

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Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.012261Z

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Observation fa46049c-3735-4fda-8850-8f5665d61e5b · outbound

This paper cites Strong convergence of approximated sequences for nonexpansive mappings in banach spaces.Proceedings of the American Mathematical Society, 125(12):3641–3645, 1997.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Strong convergence of approximated sequences for nonexpansive mappings in banach spaces.Proceedings of the American Mathematical Society, 125(12):3641–3645, 1997

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Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.078271Z

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Observation fc584d92-22e1-46bb-a919-d6136aff2d97 · outbound

This paper cites Another control condition in an iterative method for nonexpansive mappings.Bulletin of the Australian Mathematical Society, 65(1):109–113, 2002.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Another control condition in an iterative method for nonexpansive mappings.Bulletin of the Australian Mathematical Society, 65(1):109–113, 2002

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Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.140086Z

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Observation b1d9c9da-6c53-4223-92f0-02dc56d65546 · outbound

This paper cites Iterative algorithms for nonlinear operators.Journal of the London Mathematical Society, 66(1):240–256, 2002.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Iterative algorithms for nonlinear operators.Journal of the London Mathematical Society, 66(1):240–256, 2002

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Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.185854Z

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Observation 680dea50-e243-439f-abd4-9f2951cc3068 · outbound

This paper cites an unresolved cited work.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.242897Z

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Observation 8b9e2bfc-e4f6-4d55-a72e-a75b3c9543cf · outbound

This paper cites Viscosity approximation methods for nonexpansive mappings.Journal of Mathematical Analysis and Applications, 298(1):279–291, 2004.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Viscosity approximation methods for nonexpansive mappings.Journal of Mathematical Analysis and Applications, 298(1):279–291, 2004

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Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.317793Z

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Observation 08919b5f-2581-4dd9-9760-17db072358da · outbound

This paper cites Dhompongsa and B.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Dhompongsa and B

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.387118Z

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Observation 2d355e29-cf62-4a1a-8e3c-25a65d7b87c1 · outbound

This paper cites Mann’s algorithm for nonexpansive mappings in cat (κ) spaces.Nonlinear Analysis: Theory, Methods & Applications, 75(2):445–452, 2012.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Mann’s algorithm for nonexpansive mappings in cat (κ) spaces.Nonlinear Analysis: Theory, Methods & Applications, 75(2):445–452, 2012

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.463615Z

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Observation dc50426f-dc8d-4040-a02a-03ac6d1c2200 · outbound

This paper cites Halpern’s iteration in cat (0) spaces.Fixed Point Theory and Applications, 2010:1–13, 2009.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Halpern’s iteration in cat (0) spaces.Fixed Point Theory and Applications, 2010:1–13, 2009

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.547159Z

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Observation 464b9501-c0d1-4ff1-8858-bca9e165004e · outbound

This paper cites Halpern iteration in cat (κ) spaces.Acta Mathematica Sinica, English Series, 27(4):635–646, 2011.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Halpern iteration in cat (κ) spaces.Acta Mathematica Sinica, English Series, 27(4):635–646, 2011

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.655365Z

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Observation 80141630-afab-4070-beed-811ae96521a6 · outbound

This paper cites The rate of asymptotic regularity is O(1/√n).Lecture Notes in Pure and Applied Mathematics, pages 51–82, 1996.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization The rate of asymptotic regularity is O(1/√n).Lecture Notes in Pure and Applied Mathematics, pages 51–82, 1996

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.752971Z

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Observation 1b684591-7ad8-42cb-90a3-0f669e20dc0c · outbound

This paper cites On the rate of convergence of krasnosel’ski˘ı-mann iterations and their connection with sums of bernoullis.Israel Journal of Mathematics, 199:757–772, 2014.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization On the rate of convergence of krasnosel’ski˘ı-mann iterations and their connection with sums of bernoullis.Israel Journal of Mathematics, 199:757–772, 2014

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.807328Z

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Observation e9c0bd36-f4d3-41c0-8bf2-ac93be531cc3 · outbound

This paper cites Sharp convergence rates for averaged nonexpansive maps.Israel Journal of Mathematics, 227(1):163–188, 2018.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Sharp convergence rates for averaged nonexpansive maps.Israel Journal of Mathematics, 227(1):163–188, 2018

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.867443Z

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Observation fc4c0b31-cb1a-4db6-a1b5-d7da0b43466c · outbound

This paper cites Optimal error bounds for non-expansive fixed-point iterations in normed spaces.Mathematical Programming, 199(1):343–374, 2023.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Optimal error bounds for non-expansive fixed-point iterations in normed spaces.Mathematical Programming, 199(1):343–374, 2023

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:37.952646Z

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Observation 2bebb345-b62c-47d7-ae26-347fea41ba88 · outbound

This paper cites Fast Krasnosel'skii-Mann algorithm with a convergence rate of the fixed point iteration of $o\left(\frac{1}{k}\right)$.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Fast Krasnosel'skii-Mann algorithm with a convergence rate of the fixed point iteration of $o\left(\frac{1}{k}\right)$

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:38.017507Z

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Observation f89a8b89-dcad-4c54-a029-4a9ad34bdcf6 · outbound

This paper cites A first order method for solving convex bilevel optimization problems.SIAM Journal on Optimization, 27(2):640–660, 2017.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization A first order method for solving convex bilevel optimization problems.SIAM Journal on Optimization, 27(2):640–660, 2017

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:38.123793Z

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Observation eb8b70ed-7e6c-488f-8b86-1644bd2e2326 · outbound

This paper cites On the convergence rate of the halpern-iteration.Optimization letters, 15(2):405–418, 2021.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization On the convergence rate of the halpern-iteration.Optimization letters, 15(2):405–418, 2021

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:38.190493Z

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Observation f03d8220-c6e9-42f1-9f04-590549337c34 · outbound

This paper cites Rates of asymptotic regularity for the alternating halpern–mann iteration.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization Rates of asymptotic regularity for the alternating halpern–mann iteration

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:38.258324Z

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Observation 0fc66563-e361-48cc-98d4-619cf5dede9e · outbound

This paper cites On the halpern method with adaptive anchoring.Journal of Fixed Point Theory and Applications, 2025.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization On the halpern method with adaptive anchoring.Journal of Fixed Point Theory and Applications, 2025

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:38.366382Z

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Observation 98e60f4c-f4cd-4821-a195-80d90f77aa7f · outbound

This paper cites A First Order Method for Solving Convex Bilevel Optimization Problems.

On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization A First Order Method for Solving Convex Bilevel Optimization Problems

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-04T07:38:38.456026Z

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Pith citing papers

Observation 3e07ae94-d14b-497b-8aba-db6eed7358a1 · inbound

Krasnosel'skii-Mann iterations beyond asymptotics: a combinatorial analysis cites this paper.

Krasnosel'skii-Mann iterations beyond asymptotics: a combinatorial analysis On the Rate of Asymptotic Regularity of Iterative Methods for Nonexpansive Mappings in CAT(0) Spaces and Hyperbolic Optimization

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T16:11:47.823246Z

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