Common solution of split feasibility, systems of equilibrium and fixed points problems in Hilbert spaces

Abstract

The purpose of this paper is to introduce an iterative algorithm for finding finding a common element of the solution sets of split feasibility problems (SFP), systems of equilibrium problems (SEP) and fixed points (for nonexpansive semigroup) problems in Hilbert spaces. We prove that the sequences generated by the proposed algorithm converge weakly to a common element of that solution sets under mild conditions. Our main result improve and extend the recent ones announced by Ceng, Ansari and Yao [1] and many others.