ON A GENERALIZED E-KKM THEOREM

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Published: Aug 15, 2013
DOI: https://doi.org/10.14403/jcms.2013.26.3.533
Keywords:
E-convex, generalized E-KKM map
Mathematics Subject Classification (2020):
Primary 47H10, 52A07

Main Article Content

Won Kyu Kim
Department of Mathematics Education, Chungbuk National University

Abstract





In this paper, using the E-convexity, we introduce the generalized E-KKM map, and next prove the generalized E-KKM theorem which generalizes the KKM theorem due to Fan [4]. As an application, a fixed point theorem in E-convex sets is given.





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Article Details

Issue
Vol. 26 No. 3 (2013)
Section
Articles