30 citations · 48 across the 28 of their papers we have counts for
5 papers · 1 filter
Convexity and AFPP in the Digital Plane
Laurence Boxer
We examine the relationship between convexity and the approximate fixed point property (AFPP) for digital images in Z^2.
Subsets and Freezing Sets in the Digital Plane
Laurence Boxer
We continue the study of freezing sets for digital images introduced in [4, 2, 3]. We prove methods for obtaining freezing sets for digital images (X, c_i) for X \subset Z^2 and i…
Convexity and Freezing Sets in Digital Topology
Laurence Boxer
We continue the study of freezing sets in digital topology, introduced in [2]. We show how to find a minimal freezing set for a "thick" convex disk X in the digital plane Z^2. We g…
Approximate Fixed Point Property for Digital Trees and Products
Laurence Boxer
We add to our knowledge of the approximate fixed point property (AFPP) in digital topology. We show that a digital image that is a tree has the AFPP. Given two digital images (X, κ…
Remarks on Fixed Point Assertions in Digital Topology, 4
Laurence Boxer
We continue the work of [4, 2, 3], in which we discuss published assertions that are incorrect or incorrectly proven; that are severely limited or reduce to triviality; or that we…