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논문KCI 등재

Matching theorems and simultaneous relation problems

Mircea Balaj|Lucian Coroianu
대한수학회 (The Korean Mathematical Society)|2011.09|대한수학회보 (Bulletin of the KMS)|제48권 제5호|pp. 939-949

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참고문헌

키워드

KKM theoremmatching theoremKKM(XY)[기호]_c(Xvariational relation
주제분류수학

초록

In this paper we give two matching theorems of Ky Fan type concerning open or closed coverings of nonempty convex sets in a topological vector space. One of them will permit us to put in evidence, when X and Y are convex sets in topological vector spaces, a new subclass of KKM(X,Y) different by any admissible class [기호]_c(X,Y). For this class of set-valued mappings we establish a KKM-type theorem which will be then used for obtaining existence theorems for the solutions of two types of simultaneous relation problems.

Abstract

In this paper we give two matching theorems of Ky Fan type concerning open or closed coverings of nonempty convex sets in a topological vector space. One of them will permit us to put in evidence, when X and Y are convex sets in topological vector spaces, a new subclass of KKM(X,Y) different by any admissible class [기호]_c(X,Y). For this class of set-valued mappings we establish a KKM-type theorem which will be then used for obtaining existence theorems for the solutions of two types of simultaneous relation problems.

참고문헌 (27)

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관련 논문AI추천

INCLUSION AND INTERSECTION THEOREMS WITH APPLICATIONS IN EQUILIBRIUM THEORY IN G-CONVEX SPACESDonal O'Regan, Mircea Balaj대한수학회 · 대한수학회지2010 · 제47권 제5호COMMENTS ON GENERALIZED R-KKM TYPE THEOREMS박세희대한수학회 · 대한수학회논문집2010 · 제25권 제2호Elements of the KKM theory on abstract convex spaces박세희대한수학회 · 대한수학회지2008 · 제45권 제1호Nonempty intersection theorems and system of generalized vector equilibrium problems in FC-spacesHong-Xu Li, Rong-Hua He대한수학회 · 대한수학회보2013 · 제50권 제1호Remarks on the KKM property for open-valued multimaps on generalized convex spacesHoonjoo Kim, Sehie Park대한수학회 · 대한수학회지2005 · 제42권 제1호COINCIDENCE THEOREMS FOR NONCOMPACT RC-MAPS IN ABSTRACT CONVEX SPACES WITH APPLICATIONSMing-ge Yang, Nan-Jing Huang대한수학회 · 대한수학회보2012 · 제49권 제6호

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