Convergence analysis for proximal gradient-type methods with arbitrary proximal terms in nonconvex composite optimization, without requiring the global descent property between the smooth function and its proximal mapping.
Variable metric inexact line-search- based methods for nonsmooth optimization.SIAM journal on optimization, 26(2):891–921
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Proximal gradient-type method with generalized distance and convergence analysis without global descent lemma
Convergence analysis for proximal gradient-type methods with arbitrary proximal terms in nonconvex composite optimization, without requiring the global descent property between the smooth function and its proximal mapping.