Approximate Fixed Point Property for Digital Trees and Products

Abstract

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, ) and (Y, λ) that have the approximate fixed point property, does their Cartesian product have the AFPP? We explore conditions that yield an affirmative answer. A general answer to this question is not known at the current writing.

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