Strong convergence theorems for a general system of variational inequality problems, mixed equilibrium problems and fixed points problems with applications

DOI10.1016/j.mcm.2010.06.037zbMath1205.65189OpenAlexW1977803850MaRDI QIDQ623076

Suwicha Imnang, Suthep Suantai

Publication date: 13 February 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.06.037

zbMATH Keywords

variational inequalitiesnonexpansive mappingmixed equilibrium problemdemi-closedness principle

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)

Related Items (3)

Strong convergence theorems for equilibrium problems and fixed point problems: a new iterative method, some comments and applications ⋮ The methods for variational inequality problems and fixed point of \(\kappa\)-strictly pseudononspreading mapping ⋮ Triple hierarchical variational inequalities with constraints of mixed equilibria, variational inequalities, convex minimization, and hierarchical fixed point problems

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• A new iterative method for equilibrium problems and fixed point problems of infinitely nonexpansive mappings and monotone mappings
• Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
• On modified iterative method for nonexpansive mappings and monotone mappings
• Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
• Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
• Modified extragradient methods for a system of variational inequalities in Banach spaces
• A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization
• Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Viscosity approximation methods for nonexpansive mappings
• A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings
• A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
• Convergence theorems for nonexpansive mappings and feasibility problems

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