FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS WITH APPLICATIONS TO GENERALIZED EQUILIBRIUM AND SYSTEM OF NONLINEAR VARIATIONAL INEQUALITIES PROBLEMS
In this paper, a method for finding the common element of two nonexpansive mappings are provided. Consequently, we provide some results for the fixed points of an infinite family of nonexpansive mappings and of an infinite family of strict pseudo-contraction mappings. Furthermore, we apply our main result to the problems of finding the solution of generalized equilibrium and system of nonlinear variational inequalities problems. Some interesting remarks will be also pointed out and discussed.
How to Cite
Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.