On fuzzy metric spaces

Hausdorff Topology Induced by the Fuzzy Metric and the Fixed Point Theorems in Fuzzy Metric Spaces

“…The fuzzy metric space based on the concept in (1) was proposed by Kaleva and Seikkala [10]. On the other hand, inspired by the Menger space which is a special kind of probabilistic metric space by referring to Schweizer and Sklar [12,13,14], Hadžić and Pap [9] and Chang et al [2], Kramosil and Michalek [11] proposed another concept of fuzzy metric space.…”

On the Ulam Stability of Cauchy Functional Equation in IFN-Spaces

“…population dynamics [4], chaos control [6], computer programming [7], nonlinear dynamical systems [9], fuzzy physics [15], etc. The fuzzy topology [11] proves to be a very useful tool to deal with such situations where the use of classical theories breaks down.…”

On Nonlinear Equations for -Contractor Couple in Fuzzy Normed Spaces

“…Based on the fact that in many situations the distance between two points is inexact rather than a single real number, Kaleva and Seikkala [13] initiated the concept of fuzzy metric space by describing the distance of points as a fuzzy real number. Since each usual metric space and each Menger probabilistic metric space can be considered as a special case of fuzzy metric space, the study for the fuzzy metric space has attracted many authors and several results for nonlinear mappings have been given in some literatures [5], [10], [11], [12].…”