Fixed Point Theorems for Digital Contractive Type Mappings in Digital Metric Spaces

K. Sridevi; M. V. R. Kameswari; D. M. K. Kiran

doi:https://doi.org/10.14445/22315373/IJMTT-V48P522

International Journal of Mathematics Trends and Technology

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Volume 48 | Number 3 | Year 2017 | Article Id. IJMTT-V48P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P522

Fixed Point Theorems for Digital Contractive Type Mappings in Digital Metric Spaces

K. Sridevi, M. V. R. Kameswari, D. M. K. Kiran

Abstract

In this paper, we introduce a class Φ and define −contractive type mappings for digital metric spaces. We prove a crucial Lemma in digital metric spaces. Using this Lemma we prove existence and uniqueness of fixed point theorems in digital metric spaces. And we obtain Banach contraction principle in digital metric spaces as a corollary. We also give examples to illustrate our result.

Keywords

Digital image, Digital metric space, Banach contrac-tive principle, Finite sequence, increasing and strictly decreasing sequence.

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Citation :

K. Sridevi, M. V. R. Kameswari, D. M. K. Kiran, "Fixed Point Theorems for Digital Contractive Type Mappings in Digital Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 3, pp. 159-167, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P522