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Strong convergence theorems for generalized equilibrium, variational inequalities and nonlinear operators     被引量:2

文献类型:期刊文献

英文题名:Strong convergence theorems for generalized equilibrium, variational inequalities and nonlinear operators

作者:Wang, Yaqin[1,2];Xu, Hong-Kun[3];Yin, Ximing[4]

机构:[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Sichuan Univ, Coll Math, Chengdu 610064, Sichuan, Peoples R China;[3]Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan;[4]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份:2012

卷号:1

期号:4

起止页码:549

外文期刊名:ARABIAN JOURNAL OF MATHEMATICS

收录:ESCI(收录号:WOS:000215140200010)、Scopus(收录号:2-s2.0-85066714598)、WOS

基金:This work was done during the first and third authors' visit to the Research Center for Nonlinear Analysis and Discrete Mathematics at the National Sun Yat-sen University. The second author extends his appreciation to the Deanship of Scientific Research at King Saud University for funding the work through a visiting professorship program.

语种:英文

外文摘要:A new iterative scheme is introduced to approximate a common element of the solution set of a generalized mixed equilibrium problem, the solution set of a variational inequality problem, the set of common fixed points of two countable families of weak relatively nonexpansive mappings and the set of zeros of a maximal monotone operator in Banach spaces. The results obtained in this paper generalize and improve upon some existing results in recent literature.

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