一般凸空间上相交定理的另一种形式及其对变分不等式的应用

一般凸空间上相交定理的另一种形式及其对变分不等式的应用

朴勇杰, 尹哲

延边大学理学院数学系, 吉林延吉 133002

收稿日期:2007-06-29 修回日期:1900-01-01 出版日期:2008-05-26 发布日期:2008-05-26
通讯作者: 朴勇杰

Another Form of Intersection Theorems on GeneralizedConvex Spaces and Its Application to Variational Inequality

PIAO Yongjie, YIN Zhe

Department of Mathematics, College of Science, Yanbian University, Yanji 133002, Jilin Province, China

Received:2007-06-29 Revised:1900-01-01 Online:2008-05-26 Published:2008-05-26
Contact: PIAO Yongjie

摘要/Abstract

摘要： 利用古典的KKM原理和一般凸空间上最基本的KKM型定理得出若干个相交定理的另一种表现形式, 并给出转移开闭映射的一个性质. 作为相交定理的应用讨论了广义变分不等式解的存在性.

关键词: 一般凸空间, Γ凸的, 转移开(闭)映射, 上(下)半连续, KKM映射

Abstract: Another form of intersection theorems was obtained by means of classical KKM principle and the basic KKM type theorem on generali zed convex spaces, and then an important property of transfer openclosed valued map was given, finally the existence problem of solution for generalized variational inequality was discussedas the application of intersection theorem.

Key words: generalized convex space, Γconvex, transfer open(closed) map, upper(lower)semicontinuous, KKM map

中图分类号:

O189.1

朴勇杰, 尹哲. 一般凸空间上相交定理的另一种形式及其对变分不等式的应用[J]. J4, 2008, 46(03): 438-442.

PIAO Yongjie, YIN Zhe. Another Form of Intersection Theorems on GeneralizedConvex Spaces and Its Application to Variational Inequality[J]. J4, 2008, 46(03): 438-442.

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[2]	朴勇杰, 沈京虎. 广义凸空间上的重叠定理、相交定理和极大极小定理[J]. J4, 2010, 48(1): 9-14.
[3]	金光植, 朴勇杰. 非紧一般拓扑空间上的不动点定理[J]. J4, 2009, 47(03): 425-430.
[4]	朴勇杰, 尹哲. FC-空间上KKM定理的另一种形式及其对重合点的应用[J]. J4, 2008, 46(06): 1025-1030.