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

Ali B., Ali M., Hussain A., George R., Nazir T.

AIMS Mathematics, vol.7, no.9, pp.16590-16611, 2022 (SCI-Expanded, SSCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 9
  • Publication Date: 2022
  • Doi Number: 10.3934/math.2022909
  • Journal Name: AIMS Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.16590-16611
  • Keywords: best proximity point, fuzzy contractive mapping, quasi-contraction
  • Uşak University Affiliated: No

Abstract

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.