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  

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] 

机构地区：[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

出　　处：《应用数学和力学》2011年第2期241-252,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(11071169);绍兴文理学院科研项目(09LG1002)的资助

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.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.

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 

分 类 号：O177.91[理学—数学]