An Iterative Method for Mixed Point Problems of Nonexpansive and Monotone Mappings and Generalized Equilibrium Problems
Jerry N. Ezeora, Yekini Shehu · Communications in mathematical analysis · 2012
In this paper, we introduce an iterative scheme for finding the common element of the set of fixed points of a countable family of nonexpansive mappings, the set of solutions of variational inequality for $\mu$-Lipschitzian, relaxed $(\lambda,\gamma)$-cocoercive mapping and the set of solutions of a generalized equilibrium problem. We show that the iterative sequence converges strongly to a common element of the three sets. Our results generalize many recent results, for example, the results of B. Ali [2].