Existence of fixed point results associated with fuzzy metric spaces and its Generalazations
Author(s): Pravin Kumar, Sheetal Rameshrao Bagade and Ajay Soni
Abstract: Fuzzy metric spaces extend classical metric spaces to address ambiguity and uncertainty, providing a robust framework for theoretical and practical analysis. This paper explores fixed-point results in fuzzy settings, beginning with foundational concepts and extending the Banach Contraction Principle. Applications span economics, game theory, image processing, control systems, machine learning, and historical modelling. Computational methods, including algorithms and numerical techniques, support the identification of fixed points in uncertain environments. The study concludes by identifying open challenges and future directions in advancing fuzzy metric space research.
Pravin Kumar, Sheetal Rameshrao Bagade, Ajay Soni. Existence of fixed point results associated with fuzzy metric spaces and its Generalazations. Int J Stat Appl Math 2025;10(11):28-33. DOI: 10.22271/maths.2025.v10.i11a.2195
