4 citations · 13 across the 8 of their papers we have counts for
5 papers · 1 filter
Approximate Fixed Point Properties in Digital Topology
Laurence Boxer
We study the approximate fixed point property (AFPP) for continuous single-valued functions and for continuous multivalued functions in digital topology. We extend what is known ab…
Fixed point sets in digital topology, 1
Laurence Boxer, P. Christopher Staecker
In this paper, we examine some properties of the fixed point set of a digitally continuous function. The digital setting requires new methods that are not analogous to those of cla…
Remarks on Fixed Point Assertions in Digital Topology, 3
Laurence Boxer
We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that…
Remarks on Fixed Point Assertions in Digital Topology
Laurence Boxer, P. Christopher Staecker
Several recent papers in digital topology have sought to obtain fixed point results by mimicking the use of tools from classical topology, such as complete metric spaces and homoto…
Multivalued Functions in Digital Topology
Laurence Boxer
We study several types of multivalued functions in digital topology.