This paper aims to provide a comprehensive analysis of the advancements made in
understanding Iterative Fixed-Point Schemes, which builds upon the concept of digital …

In this paper, we prove Banach fixed point theorem for digital images. We also give the proof
of a theorem which is a generalization of the Banach contraction principle. Finally, we deal …

A. Rosenfeld introduced the notion of a digitally continuous function between digital images,
and showed that although digital images need not have fixed point properties analogous to …

Nous démontrons de nouveaux résultats sur les images digitales dont les homotopies
digitales entre deux transformations continues de l'image possèdent un chemin de points …

In this paper, as a survey paper, we review many works related to fixed point theory for
digital spaces using Lefschetz fixed point theorem, Banach fixed point theorem, Nielsen …

In this paper, we introduce a class Φ and define− contractive type mappings for digital metric
spaces. We prove a crucial Lemma in digital metric spaces. Using this Lemma we prove …

In this research paper we prove some fixed point theorems for digital images. Ege and
Karaca stated and proved Banach contraction principle for digital images. Main objective of …

In computational mathematics, the comparison of convergence rate in different iterative
methods is an important concept from theoretical point of view. The importance of this …

Digital topology is concerned with the topological characteristics of digital image pictures or
objects. A peculiar arrangement of non-negative numbers configures digital images. Digital …

In this paper, we introduce commutative, weakly commutative, compatible, weakly
compatible maps in the setting of digital metric space and prove some common fixed point …