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Research Article | Open Access

Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces

Shazia Kanwal1, Abdullah Al Mazrooei2, Gustavo Santos-Garcia3( ), Muhammad Gulzar1
Department of Mathematics, Government College University Faisalabad, Pakistan
Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 80203, Saudi Arabia
IME, Universidad de Salamanca, Spain
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Abstract

The main purpose of this study is to examine the existence of fuzzy fixed points of fuzzy mappings meeting the criteria of some generalized contractions of Nadler's type in the framework of complete b-metric spaces. From the pertinent literature, there are additional previous observations that are provided as corollaries. Our study expands and incorporates several implications that are apparent in this mode and are addressed in considerable literature.

Keywords

Nadler's contractionfuzzy setsfuzzy fixed pointfuzzy mappingHausdorff metric space
CLC number: 46S40, 47H10, 54H25

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AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 10177-10195
DOI: 10.3934/math.2023515

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Cite this article:
Kanwal S, Al Mazrooei A, Santos-Garcia G, et al. Some fixed point results for fuzzy generalizations of Nadler's contraction in b-metric spaces. AIMS Mathematics, 2023, 8(5): 10177-10195. https://doi.org/10.3934/math.2023515

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Received: 08 October 2022
Revised: 27 November 2022
Accepted: 07 December 2022
Published: 15 May 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)