학술저널
ON AN R-E-KKM THEOREM AND ITS APPLICATIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 1
-
2014.02105 - 112 (8 pages)
- 2
In this paper, we ¯rst 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 theo-rem simultaneously. As applications, a best proximity theorem and a ¯xed point theorem in E-convex sets are given.
1. Introduction
2. Preliminaries
3. An R-E-KKM theorem and its applications
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