Coincidence and self-coincidence of maps between digital images

Abstract

The aim of this paper is to study some properties of both the coincidence point set and the set of common fixed points of two or more digitally continuous mappings. Moreover, we study how rigidity may affect the sets of coincidence and homotopy coincidence points. Additionally, we investigate if some well-established results in the Nielsen classical topology regarding the sets of coincidence for many maps remain valid in the digital topological setting.