Parallel hybrid iterative methods for variational inequalities, equilibrium problems and common fixed point problems

Abstract

In this paper we propose two strongly convergent parallel hybrid iterative methods for finding a common element of the set of fixed points of a family of quasi $\varphi$-asymptotically nonexpansive mappings $\{F(S_j){\}}_{j=1}^N$, the set of solutions of variational inequalities $\{VI(A_i,C){\}}_{i=1}^M$ and the set of solutions of equilibrium problems $\{EP(f_k){\}}_{k=1}^K$ in uniformly smooth and 2-uniformly convex Banach spaces. A numerical experiment is given to verify the efficiency of the proposed parallel algorithms.

26 pages, Vietnam J. Math. (2015)

References in corpus (2)

• Parallel and sequential hybrid methods for a finite family of asymptotically quasi $\varphi$-nonexpansive mappings
• Parallel methods for regularizing systems of equations involving accretive operators

Cited by in corpus (1)

• Parallel hybrid methods for generalized equilibrium problems and asymptotically strictly pseudocontractive mappings