An iterative approximation scheme for solving a split generalized equilibrium, variational inequalities and fixed point problems

Abstract

ABSTRACTIn this paper, we consider a common solution of three problems in Hilbert spaces including the split generalized equilibrium problem, the variational inequality problem and fixed point problem. For finding the solution, we present a new iterative method and prove the strongly convergence theorem under mild conditions. Moreover, some numerical examples are given in the last section.