Bulletin of the Korean Mathematical Society (대한수학회보)

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GENERALIZED KKM-TYPE THEOREMS FOR BEST PROXIMITY POINTS

  • Kim, Hoonjoo (Department of Mathematics education Sehan University)
  • Received : 2015.08.10
  • Published : 2016.09.30
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Abstract

This paper is concerned with best proximity points for multimaps in normed spaces and in hyperconvex metric spaces. Using the generalized KKM theorem, we deduce new best proximity pair theorems for a family of multimaps with unionly open fibers in normed spaces. And we prove a new best proximity point theorem for quasi-lower semicontinuous multimaps in hyperconvex metric spaces.

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References

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