Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings

Abstract

In this paper we propose and analyze three parallel hybrid extragradient methods for finding a common element of the set of solutions of equilibrium problems involving pseudomonotone bifunctions and the set of fixed points of nonexpansive mappings in a real Hilbert space. Based on parallel computation we can reduce the overall computational effort under widely used conditions on the bifunctions and the nonexpansive mappings.A simple numerical example is given to illustrate the proposed parallel algorithms.

21 pages, 1 table in Numerical Algorithms (2015)

References in corpus (1)

• Parallel and sequential hybrid methods for a finite family of asymptotically quasi $\varphi$-nonexpansive mappings

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• Weak convergence theorems for a symmetric generalized hybrid mapping and an equilibrium problem
• A splitting algorithm for fixed points of nonexpansive mappings and equilibrium problems
• Parallel extragradient - viscosity methods for equilibrium problems and fixed point problems
• Parallel extragradient-proximal methods for split equilibrium problems