Best proximity points of generalized almost ψ-Geraghty contractive non-self-mappings-Reference-Cited by-同舟云学术

Best proximity points of generalized almost ψ-Geraghty contractive non-self-mappings

Published:2014-02-11 Issue:1 Volume:2014 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Aydi Hassen,Karapınar Erdal,Erhan İnci M,Salimi Peyman

Abstract

Abstract In this paper, we introduce the new notion of almost ψ-Geraghty contractive mappings and investigate the existence of a best proximity point for such mappings in complete metric spaces via the weak P-property. We provide an example to validate our best proximity point theorem. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature. MSC:47H10, 54H25, 46J10, 46J15.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2014-32.pdf

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