Solutions of system of equilibrium and variational inequality problems on fixed points of infinite family of nonexpansive mappings, By Hossein Piri

Research

Title	Solutions of system of equilibrium and variational inequality problems on fixed points of infinite family of nonexpansive mappings
Type	Article
Keywords	Common fixed point, Strong convergence, System of variational inequalities, System of equilibrium problem
Researchers	Wiyada Kumam، Hossein Piri، Poom Kumam

Abstract

In this paper, we introduce a hybrid viscosity approximation scheme for finding a common element of the solution set for a system of equilibrium problems, the solution set for a system of variational inequality problems and the common fixed point set for an infinite family of nonexpansive mappings in Hilbert spaces. Then we prove the strong convergence of the proposed iterative scheme. Our results improve and extend the results announced by Ceng and Yao (2008) [4].