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 …

In this article we study the fixed point properties of digital images. Moreover, we prove the
Lefschetz fixed point theorem for a digital image. We then give some examples about the …

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 …

The goal of this paper is to develop some applications of the Lefschetz fixed point theorem to
digital images. We also deal with relative and reduced Lefschetz fixed point theorem for …

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 we propose a mathematical framework that can be used for defining
cohomology of digital images. We state the Eilenberg-Steenrod axioms and the Universal …

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In the present time world, digital images are crucial for various applications, that includes the
medical industry, aircraft and satellite imaging, underwater imaging and so on. For this huge …

In this paper we are interested in relative homology groups of digital images. Some
properties of the Euler characteristics for digital images are given. We also present reduced …