In 2018, Erdal Karapinar introduced the concept of interpolative Kannan operators, a novel
adaptation of the Kannan mapping originally defined in 1969 by Kannan. This new mapping …

This article investigates fractal dimensions variation of fractal functions under certain
operations, which corroborates the conjecture raised in our previous work Yu and Liang …

In this article, we discuss the Hausdorff dimensions of the distance sets and the difference
sets for the graphs of continuous functions on the unit interval. We also prove that the …

The aim of this paper is to introduce and develop two novel classifications of enriched (q, θ)-
contractions on Banach spaces. The paper includes illustrative examples to demonstrate …

In this paper, we investigate the connection between a class of real number sequences and
local fractal functions in terms of fractal dimensions. Under certain conditions, we show that …

Rakotch contraction is a generalization of Banach contraction, which implies that in the case
of using Rakotch's fixed point theorem, we can model more objects than using Banach's …

In this manuscript, we initiate a large class of enriched (d, Z)-Z-contractions defined on
Banach spaces and prove the existence and uniqueness of the fixed point of these …

In this paper, we apply a generalized variant of the concept of fixed point theory due to
contraction mappings on metric spaces to construct a general class of iterated function …