文献类型：期刊文献

中文题名：Banach空间中广义混合平衡问题,变分不等式问题和不动点问题的混杂投影方法

英文题名：Hybrid Projection Method for Generalized Mixed Equilibrium Problems,Variational Inequality Problems and Fixed Point Problems in Banach Spaces

作者：王亚琴[1];曾六川[2]

机构：[1]绍兴文理学院数学系,浙江绍兴312000;[2]上海师范大学数学系,上海200234

年份：2011

卷号：32

期号：2

起止页码：241

中文期刊名：应用数学和力学

外文期刊名：Applied Mathematics and Mechanics

收录：SCI-EXPANDED(收录号：WOS:000286938700012)、CSTPCD、、EI(收录号：20110613653045)、Scopus(收录号：2-s2.0-79551664703)、CSCD2011_2012、北大核心2008、WOS、北大核心、CSCD

基金：Project supported by the National Natural Science Foundation of China (No. 11071169)

语种：中文

中文关键词：相对弱非扩张映射;强收敛;变分不等式问题;逆强单调映射;广义混合平衡问题

外文关键词：relatively weak nonexpansive mappings; strong convergence; variational inequality problems; inverse strongly monotone mappings; generalized mixed equilibrium problems

中文摘要：在Banach空间中,一个新的混杂投影迭代程序被引入来逼近广义混合平衡问题解集,变分不等式问题解集和一个相对弱非扩张映射的不动点集的公共元.所得结果改进和推广了最近一些文献的相应结果.

外文摘要：A new hybrid projection iterative scheme was introduced for approximating a common element of the solution set of a generalized mixed equilibrium problem,the solution set of a variational inequality problem and the set of fixed points of a relatively weak nonexpansive mapping in Banach spaces.The results obtained generalize and improve the recent ones announced by many others.