Iterative approximation of a common solution of split equilibrium, split variational inequality, and fixed point problem for a nonexpansive semigroup

Abstract

The purpose of this work is to investigate an iterative method to find a common solution of a split equilibrium problem, split variational inequality problem involving inverse strongly monotone mappings, and fixed point problem for a nonexpansive semigroup in the framework of real Hilbert spaces. Under some mild conditions, strong convergence theorem is obtained. Further, some special cases of main result are also included. Furthermore, we provide some numerical experiments to justify our main result. The results presented in this work may be treated as an improvement, extension, and refinement of some corresponding ones in the literature.