Fixed Point Theory and Applications (Jan 2009)

Best Proximity Point Theorems for <it>p</it>-Cyclic Meir-Keeler Contractions

  • Karpagam S,
  • Agrawal Sushama

Journal volume & issue
Vol. 2009, no. 1
p. 197308

Abstract

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We consider a contraction map of the Meir-Keeler type on the union of p subsets , , of a metric space ( ) to itself. We give sufficient conditions for the existence and convergence of a best proximity point for such a map.