3 papers
math.GN2020
Lefschetz numbers and fixed point theory in digital topology
Muhammad Sirajo Abdullahi, Poom Kumam, P. Christopher Staecker
In this paper, we present two types of Lefschetz numbers in the topology of digital images. Namely, the simplicial Lefschetz number and the cubical Lefschetz number $\bar L(…
math.GN2019
Coincidence and Self-coincidence of Many Maps between Digital Images
Muhammad Sirajo Abdullahi, Poom Kumam, Isah Abor Garba
The aim of this paper is to generalize some of the properties and results regarding both the coincidence point set and the common fixed point set of any two digitally continuous ma…
math.GN2019
Coincidence Point Sets in Digital Topology
Muhammad Sirajo Abdullahi, Poom Kumam, Jamilu Abubakar
In this article, we investigate some properties of the coincidence point set of digitally continuous maps. Following the Rosenfeld graphical model which seems more combinatorial th…