Title :
An Iterative Algorithm for Solving Generalized Equilibrium Problems and Fixed Points Problems
Author :
Li, Mengqin ; Yao, Yonghong ; Liou, Yeong-Cheng
Author_Institution :
Dept. of Math., Tianjin Polytech. Univ., Tianjin, China
Abstract :
In this paper, we consider an iterative algorithm for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a nonexpansive mapping. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above two sets under some mild conditions imposed on algorithm parameters.
Keywords :
Hilbert spaces; iterative methods; Hilbert space; fixed points problem; generalized equilibrium problem; iterative algorithm; nonexpansive mapping; Convergence; Hilbert space; Hydrogen; Information management; Iterative algorithms; Mathematics; Minimax techniques; Nash equilibrium;
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.2009.17
