[HTML][HTML] Fractals of interpolative Kannan mappings

X Shi, U Ishtiaq, M Din, M Akram - Fractal and Fractional, 2024 - mdpi.com
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 …

Comments on “Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric”

BV Prithvi, SK Katiyar - Topology and its Applications, 2024 - Elsevier
The purpose of this work is to fill a gap in the article Priya and Uthayakumar (2022)[13]. To
prove fractals (fixed points), the authors of that article tried to connect two independent …

Fractals of two types of enriched (q, θ)-Hutchinson–Barnsley operators

R Anjum, M Din, M Zhou - Chaos, Solitons & Fractals, 2024 - Elsevier
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 …

[HTML][HTML] Enriched Z-Contractions and Fixed-Point Results with Applications to IFS

I Alraddadi, M Din, U Ishtiaq, M Akram, IK Argyros - Axioms, 2024 - mdpi.com
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 …