Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces  

作　　者：张石生 饶若峰 黄家琳 

机构地区：[1]Department of Mathematics,Yibin University,Yibin 644007,Sichuan Province,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第6期685-694,共10页应用数学和力学（英文版）

基　　金：supported by the Sichuan Educational Committee Science Foundation for Youths (No. 08ZB002) ;the Natural Science Foundation of Sichuan Province (No. 2008ZC001)

摘　　要：The main purpose of this paper is to study a new iterative algorithm for finding a common element of the set of solutions for a generalized equilibrium problem and the set of fixed points for a k-strict pseudocontractive mapping in the Hilbert space. The presented results extend and improve the corresponding results reported in the lit-erature.The main purpose of this paper is to study a new iterative algorithm for finding a common element of the set of solutions for a generalized equilibrium problem and the set of fixed points for a k-strict pseudocontractive mapping in the Hilbert space. The presented results extend and improve the corresponding results reported in the lit-erature.

关 键 词：k-strict pseudocontractive mapping equilibrium problem a-inverse-stronglymonotone mapping variational inequality 

分 类 号：O177.1[理学—数学] O177.2[理学—基础数学]