Application of Fixed Point Theorems for Digital Contractive Type Mappings in Digital Metric Space

Neena Gupta¹ , Amardeep Singh² , Geeta Modi³

Section:Survey Paper, Product Type: Isroset-Journal
Vol.6 , Issue.1 , pp.323-327, Feb-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i1.323327

Online published on Feb 28, 2019

Copyright © Neena Gupta, Amardeep Singh, Geeta Modi . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper we introduce a notion and define a contractive type mapping for digital metric spaces. We prove some fixed point theorems in digital metric space by using contractive type mapping. We obtain Banach contraction principle in digital metric space. The purpose of this paper is to associate fixed point theory and digital images. This shows an application of fixed point theory in digital metric space.

Key-Words / Index Term :
digital image, digital metric space, Banach contraction principle, finite sequence, increasing sequence, decreasing sequence, θ-contractive.

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