turkmath.org

Digital topology with algebraic properties is a growing area in computer vision, image processing and fixed point theory. Many researchers have studied the properties of digital images using topology and algebraic topology. Azriel Rosenfeld introduced the notion of a digitally continuous function between digital images and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces modeled by the images, there often are approximate fixed point properties of such images. In this talk, we introduce additional results concerning approximate fixed points of digitally continuous functions. We have shown that the approximate fixed point property is preserved by digital isomorphism and by digital retraction. Finally, we present several results concerning the relationship between universal functions and the approximate fixed point property (AFFP).