APPLICATION OF THE FIXED POINT THEOREM TO DIGITAL IMAGE

Abstract

The subject of work research is related to the concept of digital image, i.e. the application of Banach's theorem on a fixed point in a digital image, as well as some of the methods of image denatization. The notion of Banach's contraction principle is related to metric spaces, and therefore to digital metric spaces. Knowledge of the existence of a fixed point has applications in many branches of analysis and topology, but it is also applied in some areas of computer science, such as computer graphics, image processing, and so on.