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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
【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.
【Abstract】 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;
【Key words】 almost convex sets; approximate selection theorems; equilibrium existence theorem; fixed point theorems;
【Key words】 almost convex sets; approximate selection theorems; equilibrium existence theorem; fixed point theorems;
【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
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,2010年06期
- 【分类号】O177.91
- 【下载频次】87