Some new characterizations and results for fuzzy contractions in fuzzy b " role="presentation"> b b b -metric spaces and applications

AIMS Mathematics

article

Haitham Qawaqneh¹  Mohd Salmi Noorani²  Hassen Aydi³ 

[1] Department of Mathematics, Faculty of Science and Information Technology, Al-Zaytoonah University of Jordan;School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia;Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication;China Medical University Hospital, China Medical University;Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University

关键词: fuzzy $ b $-metric space;    simulation function;    fixed point;    integral equation;   

DOI  :  10.3934/math.2023338

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this work, we initiate the notion of a fuzzy cyclic $ (\alpha, \beta) $-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy $ b $-metric spaces. We give some illustrative examples to validate the new concepts and obtained results. At the end, we present an application on a Fredholm integral equation.

【 授权许可】

CC BY