Title :
Strong Convergence Theorem for Finite Many Relatively Nonexpansive Mappings and Equilibrium Problems in Banach Space
Author :
Xiong, Youbing ; Li, Hongzhi
Author_Institution :
Dept. of Math., TianJin Polytech. Univ., TianJin, China
Abstract :
We establish a strong convergence theorem for finding a common element of the set of fixed points of finite many relatively nonexpansive mappings and the set of solutions of an equilibrium problem in a Banach space by using a hybrid method. Our result extend and improve the recent one announced by Wataru Takahashi and Kei Zembayashi [Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory and Appl.(2008).
Keywords :
Banach spaces; convergence; finite element analysis; Banach space; convergence theorem; equilibrium problem; finite element analysis; hybrid method; relative nonexpansive mapping; Convergence; Hilbert space; Iterative methods; Mathematics; Optimization methods; Physics; equilibrium problem; fixed points; relatively nonexpansive; uniformly convex; uniformly smooth;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.10
