Coupled Coincidence Results for \textbf{G}-Compatible functions

Introducing some coupled coincidence points for a mixed monotone operator in partially ordered complete \textbf{G}-metric spaces is the purpose of this paper.We also demonstrate the existence and uniqueness of coupled common fixed points. The main results of this paper improve the result given by Nashine and Shatanawi [Computers and Mathematics with Applications ۶۲ (۲۰۱۱) ۱۹۸۴-۱۹۹۳]. An example is given to support the usability of our results.

کلیدواژه ها:

\textbf{G}-metric space ، Coupled coincidence point ، Coupled common coincidence point ، Mixed monotone property ، Partially ordered set