Quadrupled fixed point in g-metric space with an application

In this paper, we prove some quadruple coincidence and quadruple common fixed point theorems for $F: X^4\rightarrow X$ and $g:X\rightarrow X$ satisfying weak contractions in partially ordered G-metric spaces. We illustrate our results based on an example on the main theorems. We also give an application of obtained results of this paper.