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COMMENTS ON GENERALIZED R-KKM TYPE THEOREMS

박세희
대한수학회 (The Korean Mathematical Society)|2010.04|대한수학회논문집 (Communications of the KMS)|제25권 제2호|pp. 303-311

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참고문헌

키워드

generalized R-KKM mappingfinitely closed-valued (open-valued)generalized R-KKM type theorem
주제분류수학

초록

Recently, some authors [3, 4, 11, 12, 15] adopted the concept of the so-called generalized R-KKM maps which are used to rewrite known results in the KKM theory. In the present paper, we show that those maps are simply KKM maps on G-convex spaces. Consequently, results on generalized R-KKM maps follow the corresponding previous ones on G-convex spaces.

Abstract

Recently, some authors [3, 4, 11, 12, 15] adopted the concept of the so-called generalized R-KKM maps which are used to rewrite known results in the KKM theory. In the present paper, we show that those maps are simply KKM maps on G-convex spaces. Consequently, results on generalized R-KKM maps follow the corresponding previous ones on G-convex spaces.

참고문헌 (28)

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관련 논문AI추천

Elements of the KKM theory on abstract convex spaces박세희대한수학회 · 대한수학회지2008 · 제45권 제1호Remarks on the KKM property for open-valued multimaps on generalized convex spacesHoonjoo Kim, Sehie Park대한수학회 · 대한수학회지2005 · 제42권 제1호COMMENTS ON HOU JICHENG’S “ON SOME KKM TYPE THEOREMS”박세희대한수학회 · 대한수학회논문집2010 · 제25권 제3호COINCIDENCE THEOREMS FOR NONCOMPACT RC-MAPS IN ABSTRACT CONVEX SPACES WITH APPLICATIONSMing-ge Yang, Nan-Jing Huang대한수학회 · 대한수학회보2012 · 제49권 제6호INCLUSION AND INTERSECTION THEOREMS WITH APPLICATIONS IN EQUILIBRIUM THEORY IN G-CONVEX SPACESDonal O'Regan, Mircea Balaj대한수학회 · 대한수학회지2010 · 제47권 제5호Generalized KKM-type theorems for best proximity pointsHoonjoo Kim대한수학회 · 대한수학회보2016 · 제53권 제5호

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