Common Fixed Point Results for Compatible Map in Digital Metric Space

Sumitra Dalal, Ibtisam A. Masmali, Ghaliah Y. Alhamzi
2018 Advances in Pure Mathematics  
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
more » ... f the proposed results is quoted in this note.
doi:10.4236/apm.2018.83019 fatcat:4wqnynjid5fojppdy7csrr7ixq