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 

机构地区：[1]School of Mathematics and Statistics, Hebei University of Economics and Business, Hebei 050061, P. R. China [2]Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Hebei 050003, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2011年第3期551-561,共11页数学研究与评论（英文版）

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)

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 space.Some weak convergence theorems are obtained,to extend the previous work.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 space.Some weak convergence theorems are obtained,to extend the previous work.

关 键 词：relatively nonexpansive mapping α-inversely strongly monotone operator equilibrium problem variational inequality weak convergence fixed point. 

分 类 号：O177.91[理学—数学]