数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2004年
2期
207-210
,共4页
几乎下半连续映射%连续逼近选择%仿紧子集%几乎不动点
幾乎下半連續映射%連續逼近選擇%倣緊子集%幾乎不動點
궤호하반련속영사%련속핍근선택%방긴자집%궤호불동점
almost lower semicontinuous mapping%continuous approximate selection%paracompact subset%almost fixed point
本文研究连续逼近选择问题.研究结果表明,几乎下半连续的集值映射有连续逼近选择.从而,著名的Michael连续逼近选择定理被改进.应用这个结果,一个几乎不动点定理被获得.
本文研究連續逼近選擇問題.研究結果錶明,幾乎下半連續的集值映射有連續逼近選擇.從而,著名的Michael連續逼近選擇定理被改進.應用這箇結果,一箇幾乎不動點定理被穫得.
본문연구련속핍근선택문제.연구결과표명,궤호하반련속적집치영사유련속핍근선택.종이,저명적Michael련속핍근선택정리피개진.응용저개결과,일개궤호불동점정리피획득.
The purpose of the paper is to study the continuous approximate selection problem. The results presented in this paper show that a set-valued mapping with almost lower semicontinuity has a continuous approximate selection. By using the result, an almost fixed point theorem is obtained and the Michael continuous approximate selection theorem is improved.
