On the existence of best proximity points for generalized contractions

V. Vetrivel, Asrifa Sultana


In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result. Our results generalize some recent best proximity point theorems and several fixed point theorems proved by various authors.


Fixed points, Generalized contractions, $P$-property, best proximity point.

Subject classification

54H25; 47H10

Full Text:



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1. Best proximity points of contractive mappings on a metric space with a graph and applications
Asrifa Sultana, V. Vetrivel
Applied General Topology  vol: 18  issue: 1  first page: 13  year: 2017  
doi: 10.4995/agt.2017.3424

Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt