The First Rational Type Revised Fuzzy-Contractions in Revised Fuzzy Metric Spaces with an Applications-Reference-Cited by-同舟云学术

The First Rational Type Revised Fuzzy-Contractions in Revised Fuzzy Metric Spaces with an Applications

Published:2023-05-10 Issue:10 Volume:11 Page:2244
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Muraliraj Angamuthu¹,Thangathamizh Ravichandran²,Popovic Nikola³^ORCID,Savic Ana⁴^ORCID,Radenovic Stojan⁵

Affiliation:

1. PG & Research Department of Mathematics, Urumu Dhanalakshmi College, Bharathidasan University, Trichy 620019, India

2. Department of Mathematics, K. Ramakrishnan College of Engineering, Samayapuram, Trichy 621112, India

3. Faculty of Mathematics and Computer Science, Alfa BK University, 11070 Belgrade, Serbia

4. School of Electrical and Computer Engineering, Academy of Technical and Applied Studies, Vojvode Stepe 283, 11000 Belgrade, Serbia

5. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia

Abstract

This paper aims to introduce the concept of rational type revised fuzzy-contraction mappings in revised fuzzy metric spaces. Fixed point results are proven under the rational type revised fuzzy-contraction conditions in revised fuzzy metric spaces with illustrative examples provided to support the results. A significant role will be played by this new concept in the theory of revised fuzzy fixed point results, and it can be generalized for different contractive type mappings in the context of revised fuzzy metric spaces. Additionally, an application of a nonlinear integral type equation is presented to obtain the existing result in a unique solution to support the work.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/10/2244/pdf

Reference21 articles.

1. Šostak, A. (2018). George-Veeramani Fuzzy Metrics Revised. Axioms, 7.

2. Öner, T., and Šostak, A. (2020). On Metric-Type Spaces Based on Extended T-Conorms. Mathematics, 8.

3. Grigorenko, O., Minana, J., Sostak, A., and Valero, O. (2020). On t-conorm based Fuzzy (Pseudo) metrics. Axioms, 9.

4. Patel, U.D., and Radenović, S. (2022). An Application to Nonlinear Fractional Differential Equation via α-ΓF-Fuzzy Contractive Mappings in a Fuzzy Metric Space. Mathematics, 10.

5. Patel, U.D., Todorcevic, V., Radojevic, S., and Radenović, S. (2023). Best Proximity Point for ΓτF-Fuzzy Proximal Contraction. Axioms, 12.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. New Relation-Theoretic Fixed Point Theorems in Revised Fuzzy Metric Spaces With an Application to Fractional Differential Equations;Communications in Mathematics and Applications;2023-09-18