Strong convergence of two proximal point algorithms with possible unbounded error sequences

DOI10.1007/S10957-016-1028-5zbMath1382.47020OpenAlexW2535617085MaRDI QIDQ511971

Sirous Moradi, Behzad Djafari Rouhani

Publication date: 23 February 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-016-1028-5

zbMATH Keywords

strong convergenceHilbert spacemaximal monotone operatorresolvent operatormetric projectionproximal point algorithmzero set

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Multi-objective and goal programming (90C29) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (8)

Proximal point methods with possible unbounded errors for monotone operators in Hadamard spaces ⋮ Strong convergence of regularized new proximal point algorithms ⋮ Proximal Point Method for Quasi-Equilibrium Problems in Banach Spaces ⋮ The strong convergence of a proximal point algorithm in complete CAT(0) metric spaces ⋮ A generalized strong convergence algorithm in the presence of errors for variational inequality problems in Hilbert spaces ⋮ A generalized contraction proximal point algorithm with two monotone operators ⋮ A proximal point algorithm revisited and extended ⋮ Strong convergence of an inexact proximal point algorithm in a Banach space

Cites Work

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• Combining The Proximal Algorithm And Tikhonov Regularization
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