| 摘要: |
| 本文研究了Hausdorff拓扑向量空间紧凸集上的集值映射族公共不动点集的通有稳定性,利用Fort定理, 得到了在Baire分类意义下,存在一个稠密剩余子集使得公共不动点问题是本质的, 从而是稳定的. |
| 关键词: 公共不动点 广义等度KKM映射族 稠密剩余集 通有稳定性 |
| DOI： |
| 分类号:O177.91 |
| 基金项目:国家自然科学基金项目基金资助(71961003);贵州省科技厅联合基金项目基金资助(黔科合LH字(2017)7223);贵州大学博士基金资助(贵大人基合字(2019)49). |
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| THE GENERIC STABILITY OF COMMON FIXED POINTS SET |
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MO Chun-rong, YANG Yan-long
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School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China
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| Abstract: |
| In this paper, we study the generic stability of common flxed points of set-valued mappings on compact and convex sets of Hausdorfi topological vector spaces. By using the Fort theorem, we prove that there exists a dense residual subset such that the mappings are essential and, hence, the common flxed points set is stable in the sense of Baire classiflcation. |
| Key words: Commom flxed point generalized equi-KKM family of set-valued mappings dense residual set generic stability |
