集值映射的半连续性，逼近选择和连续选择定理及应用

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 multivalลued mapping with generalized Zima type were given. As applications, someก fixed point theorems and minimax inequalities were ✘proved.

Keywords: lower semicontinuous;almost lower semicontinuous;generalized Zima type;appropximate selection theorem;

contiจnuous selection;H-spaces