Existence of a tripled coincidence point in ordered Gb-metric spaces and applications to a system of integral equations

In this paper, tripled coincidence points of mappings satisfying some nonlinear contractive conditions in the framework of partially ordered Gb-metric spaces are obtained. Our results extend the results of Aydi et al. (Fixed Point Theory Appl., 2012:101, 2012, doi:10.1186/1687-1812-2012-101). Moreover, some examples of the main result are given. Finally, some tripled coincidence point results for mappings satisfying some contractive conditions of integral type in complete partially ordered Gb-metric spaces are deduced.

tripled fixed point; generalized weakly contraction; generalized metric spaces; partially ordered set