New iterative scheme with nonexpansive mappings for equilibrium problems and variational inequality problems in Hilbert spaces

DOI10.1016/j.cam.2009.11.008zbMath1204.65082OpenAlexW2088462136MaRDI QIDQ847243

Baohua Guo, Sheng-Hua Wang

Publication date: 12 February 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.008

zbMATH Keywords

fixed pointsBanach spacesstrong convergenceHilbert spacesiterative schemeequilibrium problemsnonexpansive mappingsvariational inequality problems

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Numerical methods for variational inequalities and related problems (65K15)

Related Items (12)

A new iterative algorithm of pseudomonotone mappings for equilibrium problems in Hilbert spaces ⋮ Convergence theorems for Bregman \(K\)-mappings and mixed equilibrium problems in reflexive Banach spaces ⋮ The extragradient-Armijo method for pseudomonotone equilibrium problems and strict pseudocontractions ⋮ Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings ⋮ Hybrid iterative scheme by a relaxed extragradient method for equilibrium problems, a general system of variational inequalities and fixed-point problems of a countable family of nonexpansive mappings ⋮ Convergence Theorems for Pseudomonotone Equilibrium Problem, Split Feasibility Problem, and Multivalued Strictly Pseudocontractive Mappings ⋮ A hybrid extragradient method extended to fixed point problems and equilibrium problems ⋮ A new iterative method for equilibrium problems and fixed point problems ⋮ The subgradient extragradient method extended to equilibrium problems ⋮ Parallel projected subgradient method for solving split system of fixed point set constraint equilibrium problems in Hilbert spaces ⋮ Linesearch methods for equilibrium problems and an infinite family of nonexpansive mappings ⋮ A fixed point scheme for nonexpansive mappings, variational inequalities and equilibrium problems

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