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 () and Zoran D. Mitrović
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Gunaseelan Mani: Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India
Arul Joseph Gnanaprakasam: Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Tamil Nadu, India
Reny George: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Zoran D. Mitrović: Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

Mathematics, 2023, vol. 11, issue 19, 1-17

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: fuzzy metric spaces; fuzzy b-metric space; b-triangular property; fixed point; integral equation; dynamic programming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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