Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words

Author:

Ali Basit1,Ali Muzammil1,Hussain Azhar2,George Reny3,Nazir Talat4

Affiliation:

1. Department of Mathematics, School of Science, University of Management and Technology, C-Ⅱ, Johar Town, Lahore, 54770, Pakistan

2. Department of Mathematics, University of Chakwal, Chakwal 48800, Pakistan

3. Department of Mathematics, College of Science and Humanities in AlKharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

4. Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa

Abstract

<abstract><p>This paper deals with the existence and uniqueness of the best proximity points of nonself-mappings in the context of non-Archimedean fuzzy metric spaces. The existence of different proximal quasi-contractive mappings allowed us to generalize some results concerning the existence and uniqueness of the best proximity points in the existing literature. Moreover, an application in computer science, particularly in the domain of words has been provided.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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