Open AccessAPPLICATION OF FIXED POINT THEOREM FOR DIGITAL IMAGES
Author(s) -
Rita Pal
Publication year - 2022
Publication title -
international journal of advanced research
Language(s) - English
Resource type - Journals
ISSN - 2320-5407
DOI - 10.21474/ijar01/14152
Subject(s) - fixed point theorem , digital topology , banach fixed point theorem , mathematics , digital image , fixed point , metric space , uniqueness , contraction mapping , digital geometry , image (mathematics) , discrete mathematics , pure mathematics , computer science , mathematical analysis , computer vision , image processing , topological space , general topology , extension topology
In this research paper, we prove some fixed point theorems for digital images. The papers main goal is to present another generalisation of the well-known Banach contraction principle for digital images. The fundamental concepts of digital images are discussed, as is an application of the fixed point theorem to digital image compression and fractal image compression. The digital contractive type mappings in digital metric space are introduced, and the uniqueness of fixed points in digital metric space is proved.