APPLICATION OF FIXED POINT THEOREM FOR DIGITAL IMAGES | Zendy

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APPLICATION 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 , digital image , banach fixed point theorem , metric space , mathematics , fixed point , uniqueness , contraction mapping , digital geometry , fractal compression , image (mathematics) , computer science , pure mathematics , image compression , 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.

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