几乎凸多值映射的逼近选择及对平衡存在性与不动点定理的应用  

Approximate Selection for Almost Convex Multi-valued Mapping and Their Applications to Equilibrium Existence Theorem and Fixed Point Theorems

作　　者：唐古生[1] 刘金旺[1] 

机构地区：[1]湖南科技大学数学系,湘潭411201

出　　处：《应用数学学报》2010年第6期1133-1141,共9页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(No:10771058;11071062);湖南省自然科学基金(No:09JJ6013);湖南省教育厅科研基金(No:09C391);湖南省科技计划项目(No:2010FJ4110)资助项目

摘　　要：在局部凸拓扑向量空间中确立了新的非空几乎凸几乎下半连续多值映射的逼近选择定理.作为应用,我们还给出了一个平衡存在性定理及不动点定理.这些结果推广和改进了文献中已有的相关结论.Some new approximate theorems for almost lower-semicontinuous multi-valued mapping with almost convex values are establish in locally convex topological vector space. As applications,we also give an equilibrium existence theorem and some fixed point theorems. These results generalize the known conclusions in the literature.

关 键 词：几乎凸集 逼近选择定理 平衡存在定理 不动点定理 

分 类 号：O177.91[理学—数学]