A Weak Convergence Theorem for Equilibrium Problems,Variational Inequalities and Fixed Point Problems in 2-Uniformly Convex Banach Spaces

作     者：Li WEI Rui Lin TAN Hai Yun ZHOU 

作者机构：School of Mathematics and Statistics Hebei University of Economics and Business Hebei 050061 P. R. China Institute of Applied Mathematics and Mechanics Ordnance Engineering College Hebei 050003 P. R. China 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2011年第31卷第3期

页      面：551-561页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 11071053) the Natural Science Foundation of Hebei Province (Grant No. A.2010001482) the Project of Science and Research of Hebei Education Department (the second round in 2010) 

主　　题：relatively nonexpansive mapping α-inversely strongly monotone operator equilibrium problem variational inequality weak convergence fixed point. 

摘      要：In this paper,we introduce a new iterative scheme for finding the common element of the set of solutions of an equilibrium problem,the set of solutions of variational inequalities for an α-inversely strongly monotone operator and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and 2-uniformly convex Banach *** weak convergence theorems are obtained,to extend the previous work.