Multivalued contraction maps on fuzzy b-metric spaces and an application

Batul S., Mehmood F., Hussain A., Sagheer D., Aydi H., Mukheimer A.

AIMS Mathematics, vol.7, no.4, pp.5925-5942, 2022 (SCI-Expanded, SSCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.3934/math.2022330
  • 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.5925-5942
  • Keywords: Fixed point, Fuzzy b-metric space, Hausdorff fuzzy b-metric space, Multivalued mapping
  • Uşak University Affiliated: No

Abstract

In this article, the concept of a Hausdorff fuzzy b-metric space is introduced. The new notion is used to establish some fixed point results for multivalued mappings in G-complete fuzzy b-metric spaces satisfying a suitable requirement of contractiveness. An illustrative example is formulated to support the results. Eventually, an application for the existence of a solution for an integral inclusion is established which involves showing the materiality of the obtained results. These results are more general and some theorems proved by of Shehzad et al. are their special cases.