activity
20222025
most citedGeneralized -Parametric Metric Spaces: Fixed Point Theorems and Applications to Fractional Economic Models

2 citations · 2 across the 6 of their papers we have counts for

collaborators

8 papers

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.OC2025★ 2 cited

Generalized -Parametric Metric Spaces: Fixed Point Theorems and Applications to Fractional Economic Models

Abhishikta Das, Hemanta Kalita, Mohammad Sajid +1

The objective of this manuscript is to introduce and develop the concept of a generalized -parametric metric space-a novel extension that enriches the modern metric fixed point…

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.GN2023

Some topological results on generalized parametric metric spaces

Abhishikta Das, T. Bag

In this paper, ideas of open ball, closed ball, compact set are introduced and some related basic properties are studied. Some topological properties and some other well known resu…

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…

math.GM2022

Fuzzy strong -b-normed linear space for fuzzy bounded linear operators

Abhishikta Das, T. Bag

In this paper, concept of fuzzy continuous operator, fuzzy bounded linear operator are introduced in fuzzy strong -b-normed linear spaces and their relations are studied. Idea o…

math.GM2022

Some basic results on fuzzy strong -b-normed linear spaces

Abhishikta Das, T. Bag, S. Chatterjee

In this paper, definition of fuzzy strong -b-normed linear space is given. Here the scalar function |c| is replaced by a general function (c) where ϕ satisfies some propertie…

math.GM2022

A new approach to generalize metric functions

Abhishikta Das, Anirban Kundu, T. Bag

S-metric and b-metric spaces are metrizable, but it is still quite impossible to get an explicit form of the concerned metric function. To overcome this, the notion of -metric i…