Iterative methods for finding common solution of generalized equilibrium problems and variational inequality problems and fixed point problems of a finite family of nonexpansive mappings

DOI10.1155/2010/836714zbMath1207.65067OpenAlexW2105493040WikidataQ59252373 ScholiaQ59252373MaRDI QIDQ623536

Atid Kangtunyakarn

Publication date: 8 February 2011

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226156

zbMATH Keywords

convergenceiterationnonexpansive mappingsfixed point problemspseudocontractive mappingssystem of generalized equilibrium problemssystem of variational inequality problems

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) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Strong convergence theorem for a common fixed point of a finite family of strictly pseudo-contractive mappings and a strictly pseudononspreading mapping ⋮ Approximating fixed points of amenable semigroup and infinite family of nonexpansive mappings and solving systems of variational inequalities and systems of equilibrium problems ⋮ A general iterative method for finding common solutions of system of equilibrium problems, system of variational inequalities and fixed point problems ⋮ Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings ⋮ Convergence theorems for a system of equilibrium problems and fixed point problems of a strongly nonexpansive sequence ⋮ Hybrid algorithms of common solutions of generalized mixed equilibrium problems and the common variational inequality problems with applications

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