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

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

Abstract

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

CLC Number:

O189.1

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

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