Some Results in Fuzzy <i>b</i>-Metric Space with <i>b</i>-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

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