集值映射的半连续性，逼近选择和连续选择定理及应用

时间：2023-03-07 08:20:21 数学毕业论文我要投稿

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集值映射的半连续性，逼近选择和连续选择定理及应用

摘要：本文对集值映射的上半连续,下半连续,以及广义下半连续的定义,性质及其它们的关系做了1些探讨.在H- 空间中,我们给出了具有广义Zima型的几乎下半连续集值映射的连续选择定理.作为应用,我们证明了1些不动点定理和极小极大不等式.
关键词：下半连续;几乎下半连续;广义Zima型;逼近选择定理;连续选择;H-空间

Semicontinuity fo Set-valued Map, Approximate Selection ,
Continuous Selection Theorems with Applications

Abstract：In the paper, we researched the definitions, properties and relationships of upper and lower semicontinuous ,and generalized semicontinuous multivalued mapping. In H-spaces, continuous selection theorems involving almost lower semicontinuous multivalued mapping with generalized Zima type were given. As applications, some fixed point theorems and minimax inequalities were proved.
Keywords: lower semicontinuous;almost lower semicontinuous;generalized Zima type;appropximate selection theorem;
continuous selection;H-spaces

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