TITLE:
Common Fixed Point Results for Compatible Map in Digital Metric Space
AUTHORS:
Sumitra Dalal, Ibtisam A. Masmali, Ghaliah Y. Alhamzi
KEYWORDS:
Implicit Relation, Compatible Maps, Fixed Point Results, Digital Metric Space, Metric Space
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.8 No.3,
March
29,
2018
ABSTRACT: In this paper, we prove common fixed point results
for quadruple self-mappings satisfying an implicit function which is general
enough to cover a multitude of known as well as unknown contractions. Our results modify, unify, extend and generalize many relevant results
existing in literature. Also, we define the concept of compatible maps and its
variants in the setting of digital metric space and establish some common fixed
point results for these maps. Also, an application of the proposed results is
quoted in this note.