Coupled coincidence point theorems for mixed (T, S)-monotone operators

Abstract

The purpose of this paper is to prove the existence and uniqueness of coupled coincidence points involving a new-contraction mapping condition for a mixed (T,S)-monotone mapping in a complete partially ordered G-metric spaces. As an application, we give an existence and uniqueness for the solution of an initial-boundary value problem. The results obtained extend and generalize some results in the literature.