International Journal of Mathematics and Mathematical Sciences (Jan 2018)

Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair

  • Chalongchai Klanarong,
  • Tanadon Chaobankoh

DOI
https://doi.org/10.1155/2018/9510402
Journal volume & issue
Vol. 2018

Abstract

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In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our results generalize and improve some known results in the literature.