Novel Fuzzy Contractions and Applications to Engineering Science-Reference-Cited by-同舟云学术

Novel Fuzzy Contractions and Applications to Engineering Science

Published:2023-12-29 Issue:1 Volume:8 Page:28
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Younis Mudasir¹^ORCID,Abdou Afrah Ahmad Noman²

Affiliation:

1. School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China

2. Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia

Abstract

The article outlines a creative approach by fusing ideas from fuzzy contractions, graph mappings, and Kannan mappings to create a brand-new notion known as “Kannan-graph-fuzzy contraction”. This combination of concepts makes it possible to create a unique framework for resolving real-world issues controlled by nonlinear models. It is anticipated that using Kannan-graph-fuzzy contractions will offer a fresh approach to discussing solution existence in situations where these ideas overlap. This strategy might have a significant impact on a lot of real-world applications, proving how practical multidisciplinary techniques are for tackling issues in the real world originating from technology and engineering. The article includes several illustrated examples based on computer simulations, making the results more explicit.

Funder

University of Jeddah, Jeddah, Saudi Arabia

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/8/1/28/pdf

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2. Coincidence point theorems for graph-preserving multi-valued mappings;Tiammee;Fixed Point Theory Appl.,2014

3. A generalization of Banach’s contraction principle;Proc. Amer. Math. Soc.,1974