Best proximity point results for modified α-proximal C-contraction mappings

Calogero Vetro, Poom Kumam, Peyman Salimi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

First we introduce new concepts of contraction mappings, then we establish certain best proximity point theorems for such kind of mappings in metric spaces. Finally, as consequences of these results, we deduce best proximity point theorems in metric spaces endowed with a graph and in partially ordered metric spaces. Moreover, we present an example and some fixed point results to illustrate the usability of the obtained theorems.
Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalFixed Point Theory and Applications
Volume2014
Publication statusPublished - 2014

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All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Applied Mathematics

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