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

Gunaseelan Mani; Arul Joseph Gnanaprakasam; Liliana Guran; Reny George; Zoran D. Mitrović

doi:10.3390/math11194101

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

Gunaseelan Mani
, Arul Joseph Gnanaprakasam
, Liliana Guran
, Reny George
, Zoran D. Mitrović

Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

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.

Original language	English
Article number	4101
Journal	Mathematics
Volume	11
Issue number	19
DOIs	https://doi.org/10.3390/math11194101
State	Published - Oct 2023

Keywords

b-triangular property
dynamic programming
fixed point
fuzzy b-metric space
fuzzy metric spaces
integral equation

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10.3390/math11194101

Cite this

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

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.",

keywords = "b-triangular property, dynamic programming, fixed point, fuzzy b-metric space, fuzzy metric spaces, integral equation",

author = "Gunaseelan Mani and Gnanaprakasam, \{Arul Joseph\} and Liliana Guran and Reny George and Mitrovi{\'c}, \{Zoran D.\}",

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AU - George, Reny

AU - Mitrović, Zoran D.

PY - 2023/10

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AB - 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.

KW - b-triangular property

KW - dynamic programming

KW - fixed point

KW - fuzzy b-metric space

KW - fuzzy metric spaces

KW - integral equation

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

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Keywords

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