An explicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of an infinite family of nonexpansive mappings

DOI10.1016/j.na.2009.12.002zbMath1225.47098OpenAlexW2009501283MaRDI QIDQ847364

Huimin He, San-Yang Liu, Hai-Yun Zhou

Publication date: 12 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.12.002

zbMATH Keywords

strong convergencefixed pointnonexpansive mappingequilibrium problemexplicit method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (6)

Convergence of a hybrid iterative scheme for fixed points of nonexpansive maps, solutions of equilibrium, and variational inequalities problems ⋮ Iteration-discretization methods for variational inequalities over fixed point sets ⋮ Strong convergence to solutions for a class of variational inequalities in Banach spaces by implicit iteration methods ⋮ Approximating solution of \(0\in T(x)\) for an \(H\)-accretive operator in Banach spaces ⋮ An algorithm for finding a common solution for a system of mixed equilibrium problem, quasivariational inclusion problem, and fixed point problem of nonexpansive semigroup ⋮ Strong convergence theorems of the \(C Q\) algorithm for \(H\)-monotone operators in Hilbert spaces

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