Best proximity points of generalized cyclic weak (F, ψ, ϕ)-contractions in ordered metric spaces

Arslan H. Ansari, Jamnian Nantadilok*, Mohammad S. Khan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this paper is to introduce a new generalized cyclic weak (F, ψ, ϕ)-contraction based on the generalized weak ϕ-contraction which is proposed in [6], where F is a C-class function. Moreover, we obtain a corresponding best proximity point theorem for this cyclic mapping under certain condition. Our results obtained in this paper improve and extend previous known results in [6], as well as other results for cyclic contractions in the existing literature.

Original languageEnglish
Pages (from-to)55-67
Number of pages13
JournalNonlinear Functional Analysis and Applications
Volume25
Issue number1
DOIs
Publication statusPublished - Mar 1 2020

Keywords

  • Best proximity point
  • C-class function
  • Cyclic map
  • Cyclic weak (F, ψ, ϕ)-contraction
  • Ordered metric space

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Control and Optimization
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Best proximity points of generalized cyclic weak (F, ψ, ϕ)-contractions in ordered metric spaces'. Together they form a unique fingerprint.

Cite this