Best proximity points: Convergence and existence theorems for p-cyclic mappings

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82 Citazioni (Scopus)

Abstract

We introduce a new class of mappings, called p-cyclic \phi-contractions, which contains the p-cyclic contraction mappings as a subclass. Then, convergence and existence results of best proximity points for p-cyclic \phi-contraction mappings are obtained. Moreover, we proveresults of the existence of best proximity points in a reflexive Banach space. These results are generalizations of the results of Al-Thagafi and Shahzad (2009) [8].
Lingua originaleEnglish
pagine (da-a)2283-2291
Numero di pagine9
RivistaNONLINEAR ANALYSIS
Volume73
Stato di pubblicazionePublished - 2010

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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