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20212023
most citedSet-valued α-fractal functions

1 citations · 1 across the 7 of their papers we have counts for

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math.FA2023

Some results on Continuous dependence of fractal functions on the Sierpiński gasket

Vishal Agrawal, Ajay Prajapati, Abhilash Sahu +1

In this article, we show that -fractal functions defined on Sierpiński gasket (denoted by ) depend continuously on the parameters involved in the construction. In the…

math.FA2023

Generalized Hausdorff metric on -metric space and some fixed point results

Jayanta Sarkar, Megha Pandey, Tanmoy Som +1

In this paper, a metric on -metric space analogous to the Hausdorff metric has been introduced and some basic properties are obtained on multi-valued -metric space. Furth…

math.FA2022★ 1 cited

Set-valued α-fractal functions

Megha Pandey, Tanmoy Som, Saurabh Verma

In this paper, we introduce the concept of the -fractal function and fractal approximation for a set-valued continuous map defined on a closed and bounded interval of real numbe…

math.FA2022

Fractal polynomials On the Sierpiński gasket and some dimensional results

V. Agrawal, S. Verma, T. Som

In this paper, we explore some significant properties associated with a fractal operator on the space of all continuous functions defined on the Sierpiński Gasket (SG). We also pro…

math.FA2022

Box Dimension and Fractional Integrals of Multivariate Fractal Interpolation Functions

Vishal Agrawal, Megha Pandey, Tanmoy Som

In this article, we construct the multivariate fractal interpolation functions for a given data points and explore the existence of -fractal function corresponding to the multiv…