AFPP and Unions of Convex Disks in the Digital Plane

Abstract

We use results of [6] to enlarge our knowledge of the approximate fixed point property (AFPP) for digital images in ${\mathbb{Z}}^2$. In particular, we study conditions under which the union of two convex digital disks has the AFPP.

arXiv admin note: substantial text overlap with arXiv:2012.14009; text overlap with arXiv:2005.09713 These overlaps are quotes or paraphrases, and are introduced as such

References in corpus (3)

• Approximate Fixed Point Properties in Digital Topology
• Approximate Fixed Point Property for Digital Trees and Products
• Convexity and AFPP in the Digital Plane