Some Results in Fuzzy b-Metric Space with b-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming-Reference-Cited by-同舟云学术

Some Results in Fuzzy b-Metric Space with b-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming

Published:2023-09-28 Issue:19 Volume:11 Page:4101
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Mani Gunaseelan¹^ORCID,Gnanaprakasam Arul Joseph²^ORCID,Guran Liliana³^ORCID,George Reny⁴^ORCID,Mitrović Zoran D.⁵^ORCID

Affiliation:

1. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India

2. Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Tamil Nadu, India

3. Department of Pharmaceutical Sciences, “Vasile Goldiş” Western University of Arad, L. Rebreanu Street, No. 86, 310048 Arad, Romania

4. Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

5. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

Abstract

In this paper, we introduce the b-triangular property in fuzzy b-metric space. Furthermore, we give some new fixed point results in fuzzy b-metric space for non-continuous mappings. Our results generalize and expand some results from the related literature. Two applications of our results, to solving Fredholm integral equation and in dynamic programming, are also given.

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2227-7390/11/19/4101/pdf

Reference33 articles.

1. Statistical metric spaces;Schweizer;Pac. J. Math.,1960

2. Fuzzy sets;Zadeh;Inf. Control,1965

3. Fuzzy metric and statistical metric spaces;Kramosil;Kybernetica,1975

4. On some results in fuzzy metric spaces;George;Fuzzy Sets Syst.,1994

5. Fixed points in fuzzy metric spaces;Grabiec;Fuzzy Sets Syst.,1988

Cited by 3 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. On new common fixed point theorems via bipolar fuzzy b-metric space with their applications;PLOS ONE;2024-06-25

2. Existence of common fuzzy fixed points via fuzzy F-contractions in b-metric spaces;Scientific Reports;2024-04-02

3. Commodity intelligent pricing and replenishment decision based on dynamic programming model based on sliding window and XGBoost regression algorithm;Proceedings of the 2023 5th International Conference on Internet of Things, Automation and Artificial Intelligence;2023-11-24