We introduce a fractal operator on C [0, 1] which sends a function f∈ C (I) to fractal version
of f where fractal version of f is a super fractal interpolation function corresponding to a …

The goal of this article is to study the fractal surfaces and associated fractal operator on
Lebesgue spaces with respect to fractal measures. First, we show that fractal surfaces …

This chapter aims to establish the notion of non-stationary-fractal operator and establish
some approximations and convergence properties. More specifically, the approximations …

In this paper, the notion of dimension preserving approximation for real-valued bivariate
continuous functions, defined on a rectangular domain, has been introduced and several …

In this study we provide several significant generalisations of Banach contraction principle
where the Lipschitz constant is substituted by real-valued control function that is a …

In this paper, we explore the concept of dimension preserving approximation of continuous
multivariate functions defined on the domain [0, 1] q (=[0, 1]×⋯×[0, 1](q-times) where q is a …

In this paper, we make research on the approximation of functions with fractal dimension in
continuous functions space. We first investigate fractal dimension of the linear combination …

In this article, we manifest the existence of a new class of α-fractal functions without endpoint
conditions in the space of continuous functions. Furthermore, we add the existence of the …

This note aims to introduce a bivariate fractal interpolation method by using the concept of
zipper. In this note, we establish a general method to construct the zipper fractal …

In this article, a family of continuous functions on the unit sphere S ⊆ R^ 3 S⊆ R 3 is
considered as a generalization of spherical harmonics. The family is fractalized using a …