文献类型：期刊文献

英文题名：AN EXTRAGRADIENT-LIKE METHOD FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS

作者：Wang, Yaqin[1,2];Gu, Feng[3]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Sichuan Univ, Math Coll, Chengdu 610064, Sichuan, Peoples R China;[3]Hangzhou Normal Univ, Coll Sci, Hangzhou 310036, Zhejiang, Peoples R China

年份：2014

卷号：15

期号：4

起止页码：733

外文期刊名：JOURNAL OF NONLINEAR AND CONVEX ANALYSIS

收录：SCI-EXPANDED(收录号：WOS:000336418700008)、、Scopus(收录号：2-s2.0-84901377235)、WOS

基金：The first author was supported by Zhejiang Provincial Natural Science Foundation of China under Grant (no. LQ13A010007) and the China Postdoctoral Science Foundation Funded Project(no. 2012M511928). The second author was supported by the National Natural Science Foundation of China (no. 11071169, no. 11271105), the Natural Science Foundation of Zhejiang Province (no. Y6110287, no. Y12A010095).

语种：英文

外文关键词：Nonexpansive mapping; fixed point; variational inequality; inverse-strongly-monotone mapping; generalized mixed equilibrium problem

外文摘要：In this paper, we first introduce a new general iterative scheme based on the extragradient-like method for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of solutions of a variational inequality and the set of common fixed points for a finite family of nonexpansive mappings in the framework of a Hilbert space. Then we show that the proposed iterative sequence converges strongly to a common element. The results obtained in this paper generalize and improve the recent ones announced by many others.