Outer Approximation Method for Constrained Composite Fixed Point Problems Involving Lipschitz Pseudo Contractive Operators

DOI10.1080/01630563.2011.594199zbMath1232.65084arXiv1101.1495OpenAlexW2015094513MaRDI QIDQ3114581

Luis M. Briceño-Arias

Publication date: 19 February 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1495

zbMATH Keywords

monotone operatorequilibrium problemsplitting algorithmfixed point problemsfirmly nonexpansive operatormonotone inclusionpseudo contractive operator

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Monotone operators and generalizations (47H05) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Numerical methods for variational inequalities and related problems (65K15)

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Two new splitting algorithms for equilibrium problems, A Douglas-Rachford splitting method for solving equilibrium problems, A class of Fejér convergent algorithms, approximate resolvents and the hybrid proximal-extragradient method, Forward-partial inverse-forward splitting for solving monotone inclusions

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