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

Prasit Cholamjiak () and Suthep Suantai ()

Journal of Global Optimization, 2013, vol. 57, issue 4, 1277-1297

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. Copyright Springer Science+Business Media New York 2013

Keywords: Variational inequality; Meir–Keeler contraction; Left regular; Equilibrium problem; Nonexpansive semigroup; 47H09; 47H10 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-0029-7

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