A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings

DOI10.1155/2009/520301zbMath1185.47077OpenAlexW2024243189WikidataQ59219687 ScholiaQ59219687MaRDI QIDQ962441

Suthep Suantai, Chakkrid Klin-eam

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229249

zbMATH Keywords

strong convergencevariational inequalitiesnonexpansive mappingHilbert spaceiterative schemecommon fixed pointstrictly pseudocontractive mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings ⋮ New general systems of set-valued variational inclusions involving relative \((A, \eta)\)-maximal monotone operators in Hilbert spaces ⋮ Iterative algorithms for solving the system of mixed equilibrium problems, fixed-point problems, and variational inclusions with application to minimization problem ⋮ A new iterative scheme for solving the equilibrium problems, variational inequality problems, and fixed point problems in Hilbert spaces ⋮ Unnamed Item ⋮ A general iterative algorithm for generalized mixed equilibrium problems and variational inclusions approach to variational inequalities

Cites Work

• Viscosity approximation methods for nonexpansive mappings and monotone mappings
• Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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