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ON A GENERALIZED E-KKM THEOREM

  • Kim, Won Kyu (Department of Mathematics Education Chungbuk National University)
  • Received : 2013.04.01
  • Accepted : 2013.07.08
  • Published : 2013.08.15

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.

Keywords

References

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Cited by

  1. ON AN R-E-KKM THEOREM AND ITS APPLICATIONS vol.27, pp.1, 2014, https://doi.org/10.14403/jcms.2014.27.1.105