Strong convergence theorems for countable families of multivalued nonexpansive mappings and systems of equilibrium and variational inequality problems

Abstract

In this paper, we introduce a new iterative scheme by hybrid methods and prove strong convergence of the scheme for approximation of a common fixed point of two countably infinite families of multi valued nonexpansive mappings which is also a solution to system equilibrium problems and system of variational inequality problems in a real Hilbert space. Our results extend important recent results.