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math.GM2025
Relation-Theoretic Banach Contraction Principle in Topological Spaces with an Application
Md Hasanuzzaman, Abhishikta Das, Sumit Som
In this article, we extend several relation-theoretic notions to topological spaces. We introduce relation preserving contraction mapping into topological spaces and utilize the sa…
math.GM2025
Exploring fixed point results in fuzzy -metric spaces with an application to satellite web coupling problem
Dipti Barman, Abhishikta Das, T. Bag
This article explores several fundamental aspects of fuzzy -metric spaces and their applications in mathematical analysis. We investigate some essential properties con…
math.GM2023
Some fixed point theorems in generalized parametric metric spaces and applications to ordinary differential equations
Abhishikta Das, Hijaz Ahmad, T. Bag
The objective of this work is the construction of `Boyd-Wong fixed point theorem' in the setting of generalized parametric metric space and discussion its application on existence…