Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON AN R-E-KKM THEOREM AND ITS APPLICATIONS

  • Kim, Won Kyu (Department of Mathematics Education Chungbuk National University)
  • Received : 2013.12.13
  • Accepted : 2014.01.16
  • Published : 2014.02.15
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Abstract

In this paper, we first introduce an R-E-KKM map in the E-convex settings, and next we prove an R-E-KKM theorem which generalizes the KKM theorem and the best proximity theorem simultaneously. As applications, a best proximity theorem and a fixed point theorem in E-convex sets are given.

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References

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