ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND NONEXPANSIVE MAPPINGS

Convergence Theorems for Generalized Equilibrium Problems and Nonexpansive Mappings

We propose a general iterative scheme for solving a generalized equilibrium problem and fixed points of nonexpansive mappings in a Hilbert space. We then prove strong convergence theorems. Mathematics Subject Classification: 47H09, 47H10

Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces

We introduce a new iterative scheme for nding a common elementof the solutions set of a generalized mixed equilibrium problem and the xedpoints set of an innitely countable family of nonexpansive mappings in a Banachspace setting. Strong convergence theorems of the proposed iterative scheme arealso established by the generalized projection method. Our results generalize thecorresponding results...

A New Iterative Method for Generalized Equilibrium and Fixed Point Problems of Nonexpansive Mappings

In this paper, a new iterative method for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of infinitely many nonexpansive mappings in Hilbert spaces, is introduced. For this method, a strong convergence theorem is given. This improves and extends some recent results. 2010 Mathematics Subject Classification: 47H10, 47H09

Some extragradient methods for common solutions of generalized equilibrium problems and fixed points of nonexpansive mappings

Correspondence: jwpeng6@yahoo. com.cn School of Mathematics, Chongqing Normal University, Chongqing 400047, PR China Abstract In this article, we introduce some new iterative schemes based on the extragradient method (and the hybrid method) for finding a common element of the set of solutions of a generalized equilibrium problem, and the set of fixed points of a family of infinitely nonexpansiv...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points