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

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

In this paper, we introduce the <i>b</i>-triangular property in fuzzy <i>b</i>-metric space. Furthermore, we give some new fixed point results in fuzzy <i>b</i>-metric space for non-continuous mappings. Our results generalize and expand some results from the relat...

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Bibliographic Details
Main Authors:	Gunaseelan Mani, Arul Joseph Gnanaprakasam, Liliana Guran, Reny George, Zoran D. Mitrović
Format:	Article
Language:	English
Published:	MDPI AG 2023-09-01
Series:	Mathematics
Subjects:	fuzzy metric spaces fuzzy b-metric space b-triangular property fixed point integral equation dynamic programming
Online Access:	https://www.mdpi.com/2227-7390/11/19/4101

Description
Summary:	In this paper, we introduce the <i>b</i>-triangular property in fuzzy <i>b</i>-metric space. Furthermore, we give some new fixed point results in fuzzy <i>b</i>-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.
ISSN:	2227-7390