Derives second-order Dini formulas for efficient solution maps S from marginal maps Φ under value-to-decision error bounds and metric regularity conditions in parametric vector optimization.
Taiwanese Journal of Mathematics 11(3): 611–619
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For algebras π2 and π3, local derivations and automorphisms have matrix forms distinct from global versions, form Lie algebras under brackets, and yield positive solutions to the Ayupov-Eldique-Kudaybergenov problems on local derivations.
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Second-Order Sensitivity of Efficient Solution and Marginal Maps in Parametric Vector Optimization with Set Constraints
Derives second-order Dini formulas for efficient solution maps S from marginal maps Φ under value-to-decision error bounds and metric regularity conditions in parametric vector optimization.
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The relationship between local derivations and local automorphisms of some associative algebras
For algebras π2 and π3, local derivations and automorphisms have matrix forms distinct from global versions, form Lie algebras under brackets, and yield positive solutions to the Ayupov-Eldique-Kudaybergenov problems on local derivations.