On Multivalued Fuzzy Contractions in Extended b-Metric Spaces

Nayab Alamgir, Quanita Kiran, Hassen Aydi*, Yaé Ulrich Gaba

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we establish a Hausdorff metric over the family of nonempty closed subsets of an extended b-metric space. Thereafter, we introduce the concept of multivalued fuzzy contraction mappings and prove related -fuzzy fixed point theorems in the context of extended b-metric spaces that generalize Nadler's fixed point theorem as well as many preexisting results in the literature. Further, we establish -fuzzy fixed point theorems for Círić type fuzzy contraction mappings as a generalization of previous results. Moreover, we give some examples to support the obtained results.

Original languageEnglish
Article number5579991
JournalJournal of Mathematics
Volume2021
DOIs
Publication statusPublished - 2021
Externally publishedYes

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