Iterative methods for solving equilibrium problems, variational inequalities and fixed points of nonexpansive semigroups

Authors:
Prasit Cholamjiak;Suthep Suantai
Affiliations:
School of Science, University of Phayao, Phayao, Thailand 56000;Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand 50200
Venue:
Journal of Global Optimization
Year:
2013

Citing 8
Cited 0

Strong convergence of averaged approximants for asymptotically nonexpansive mappings in banach spaces

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On characterizations of Meir-Keeler contractive maps

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Nash equilibria, variational inequalities, and dynamical systems

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Convergence to common fixed point of nonexpansive semigroups

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Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces

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Strong convergence theorems for an infinite family of quasi-nonexpansive mappings and generalized equilibrium problems and variational inequality problems

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Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions

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A hybrid method for a family of relatively quasi-nonexpansive mappings and an equilibrium problem in Banach spaces

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Abstract

In this work, strong convergence theorems by the viscosity approximation method associated with Meir---Keeler contractions are established for solving fixed point problems of a nonexpansive semigroup, a system of equilibrium problems and variational inequality problems in a real Hilbert space. Further, applications related to commutative semigroup are obtained.