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APPLICATION OF FIXED POINT THEOREM FOR DIGITAL IMAGES

Name: APPLICATION OF FIXED POINT THEOREM FOR DIGITAL IMAGES
Creator: Rita Pal
Keywords: Banach Contraction Principle Digital Metric Space Digital Image Increasing Sequence Complete Digital Metric Space Finite Sequence Continuity Contractive Type Mapping

descriptionPublicationkeyboard_double_arrow_right Article 31 Jan 2022Publisher:International Journal Of Advanced ResearchJournal:International Journal of Advanced Research, volume 10, pages 1,110-1,126 (eissn: 2320-5407,

Authors: Rita Pal;

doi: 10.21474/ijar01/14152 , 10.5281/zenodo.6355310 , 10.5281/zenodo.6355311

APPLICATION OF FIXED POINT THEOREM FOR DIGITAL IMAGES

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Abstract

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.

Related Organizations

University of Mumbai
India

Keywords

Banach Contraction Principle Digital Metric Space Digital Image Increasing Sequence Complete Digital Metric Space Finite Sequence Continuity Contractive Type Mapping

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