Banach空间中广义混合平衡问题  

On the Generalized Mixed Equilibrium Problem in Banach Spaces

作　　者：张石生[1] 

机构地区：[1]宜宾学院数学系,四川宜宾644007

出　　处：《应用数学和力学》2009年第9期1033-1041,共9页Applied Mathematics and Mechanics

基　　金：宜宾学院自然科学基金(2009Z003)的资助

摘　　要：在一致光滑和严格凸的Banach空间的框架下,采用综合性算法,借以寻求广义混合平衡问题的解集、变分不等式的解集、及一有限族的拟-非扩张映象公共不动点集的公共元.作为应用,把所得结果应用于研究最优化问题.所得结果推广和改进了Ceng,Takahashi,Qin等人所发布的新结果.The purpose is by using hybrid algorithm to find a common element of the set of solutions for a generalized mixed equilibrium problem, the set of solutions for variational inequality problem and the set of common fixed points for a finite family of quasi-φ-nonexpansive mappings in a uniformly smooth and strictly convex Banach space. By utilizing the results for the study of optimization problem,it shows that the results improve and extend the corresponding results announced recently by many others such as Ceng, Takahashi, Qin, et al.

关 键 词：广义混合平衡问题 混合平衡问题 平衡问题 变分不等式 拟φ-非扩张映象 极大单调映象 单调映象 

分 类 号：O177.91[理学—数学]