APPLICATION OF FIXED POINT THEOREM FOR DIGITAL IMAGES
Journal: International Journal of Advanced Research (Vol.10, No. 01)Publication Date: 2022-01-15
Authors : Rita Pal;
Page : 1110-1126
Keywords : Banach Contraction Principle Digital Metric Space Digital Image Increasing Sequence Complete Digital Metric Space Finite Sequence Continuity Contractive Type Mapping;
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.
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