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
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.
Topics & Concepts
MathematicsFredholm integral equationProperty (philosophy)Metric (unit)Fuzzy logicMetric spaceSpace (punctuation)Point (geometry)Pure mathematicsAlgebra over a fieldDiscrete mathematicsMathematical analysisIntegral equationApplied mathematicsMathematical optimizationComputer scienceArtificial intelligenceGeometryOperating systemEconomicsPhilosophyEpistemologyOperations managementFixed Point Theorems Analysis