Common Best Proximity Point Results for <i>T</i>-GKT Cyclic <i>ϕ</i>-Contraction Mappings in Partial Metric Spaces with Some Applications

Common Best Proximity Point Results for <i>T</i>-GKT Cyclic <i>ϕ</i>-Contraction Mappings in Partial Metric Spaces with Some Applications

The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class of symmetric mappings, which is a generalization of cyclic <i>ϕ</i>-contraction mappings. With the help of these symmetric mappings, the characterization of completen...

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Bibliographic Details
Main Authors: Nilakshi Goswami, Raju Roy, Vishnu Narayan Mishra, Luis Manuel Sánchez Ruiz
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Symmetry
Subjects:
common best proximity point
cyclic ϕ-contraction
partial metric space
Online Access:https://www.mdpi.com/2073-8994/13/6/1098
Description
Summary:The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class of symmetric mappings, which is a generalization of cyclic <i>ϕ</i>-contraction mappings. With the help of these symmetric mappings, the characterization of completeness of metric spaces given by Cobzas (2016) is extended here for partial metric spaces. The existence of a solution to the Fredholm integral equation is also obtained here via a fixed-point formulation for such mappings.
ISSN:2073-8994

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