An Iterative Method for Fixed Point Problemsof Nonexpansive Mappings, Monotone Mappings and Equilibrium Problems

摘要

In this paper, we introduce an iterative scheme for finding the commonelement of the set of fixed points of a countable family of nonexpan-sive mappings, the set of solutions of variational inequality for a-inversestrongly monotone mappings and the set of solutions of an equilibriumproblem. Our main result improve and generalize several recent resultson approximations of fixed point of nonexpansive maps and solutions ofvariational inequalities and equilibrium problems.