集值映射的半連續(xù)性，逼近選擇和連續(xù)選擇定理及應用

集值映射的半連續(xù)性，逼近選擇和連續(xù)選擇定理及應用

集值映射的半連續(xù)性，逼近選擇和連續(xù)選擇定理及應用
 
摘要：本文對集值映射的上半連續(xù),下半連續(xù),以及廣義下半連續(xù)的定義,性質(zhì)及其它們的關系做了1些探討.在H- 空間中,我們給出了具有廣義Zima型的幾乎下半連續(xù)集值映射的連續(xù)選擇定理.作為應用,我們證明了1些不動點定理和極小極大不等式.
關鍵詞：下半連續(xù);幾乎下半連續(xù);廣義Zima型;逼近選擇定理;連續(xù)選擇;H-空間

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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