A hybrid approximation method for equilibrium and fixed point problems for a family of infinitely nonexpansive mappings and a monotone mapping

DOI10.1016/j.nahs.2009.02.007zbMath1223.47071OpenAlexW2091242692MaRDI QIDQ1036622

Chang Song Hu, Gang Cai

Publication date: 13 November 2009

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2009.02.007

zbMATH Keywords

strong convergencefixed pointnonexpansive mappingequilibrium problemreal Hilbert space\(\alpha \)-inverse-strongly monotone mapping

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items

Strong and weak convergence theorems for general mixed equilibrium, general variational inequality, and fixed point problems for two nonexpansive semigroups in Hilbert spaces ⋮ A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces ⋮ The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings ⋮ A hybrid extragradient-like method for variational inequalities, equilibrium problems, and an infinitely family of strictly pseudocontractive mappings ⋮ Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings ⋮ A modified hybrid projection method for solving generalized mixed equilibrium problems and fixed point problems in Banach spaces ⋮ A new hybrid iterative method for mixed equilibrium problems and variational inequality problem for relaxed cocoercive mappings with application to optimization problems ⋮ A convergence theorem based on a hybrid relaxed extragradient method for generalized equilibrium problems and fixed point problems of a finite family of nonexpansive mappings

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