On Multivalued Fuzzy Contractions in Extended  b -Metric Spaces | Zendy

Nayab Alamgir | Zendy; Quanita Kiran | Zendy; Hassen Aydi | Zendy; Yaé Ulrich Gaba | Zendy

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On Multivalued Fuzzy Contractions in Extended

b

-Metric Spaces

Author(s) -

Nayab Alamgir,

Quanita Kiran,

Hassen Aydi,

Yaé Ulrich Gaba

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5579991

Subject(s) - mathematics , metric space , hausdorff distance , contraction (grammar) , discrete mathematics , generalization , fixed point theorem , fixed point , algebra over a field , pure mathematics , mathematical analysis , medicine

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.

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