Common best proximity point theorems for proximally weak reciprocal continuous mappings-Reference-Cited by-同舟云学术

Common best proximity point theorems for proximally weak reciprocal continuous mappings

Published:2023 Issue:12 Volume:8 Page:28176-28187
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Unni A. Sreelakshmi¹,Pragadeeswarar V.¹,De la Sen Manuel²

Affiliation:

1. Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India

2. Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, Leioa 48940, Bizkaia, Spain

Abstract

<abstract><p>The main objective of this paper is to find sufficient conditions for the existence and uniqueness of common best proximity points for discontinuous non-self mappings in the setting of a complete metric space. We introduce and analyze new concepts such as proximally reciprocal continuous, proximally weak reciprocal continuous, R-proximally weak commuting of types $ M_{\Lambda} $ and $ M_{\Gamma} $ for non-self mappings. Furthermore, we obtain a common best proximity point theorem for such mappings. In addition, we provide an example to support our main result.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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