On Multivalued Fuzzy Contractions in Extended b-Metric Spaces. (17th March 2021)

• Record Type: Journal Article
• Authors: Alamgir, Nayab; Kiran, Quanita; Aydi, Hassen; Gaba, Yaé Ulrich
• Other Names: jan naeem Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-03-17
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/5579991
• Languages: English
• ISSNs: 2314-4629

Abstract

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 α -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 α -fuzzy fixed point theorems for Ćirić type fuzzy contraction mappings as a generalization of previous results. Moreover, we give some examples to support the obtained results.