COINCIDENCE AND FIXED POINT THEOREMS FOR A NEW CONTRACTION PRINCIPLE IN PARTIALLY ORDERED G-METRIC SPACES AND APPLICATIONS TO ORDINARY DIFFERENTIAL EQUATIONS

Abstract

The purpose of this article is to present some coincidence and fixed point theorems for generalized contraction in partially ordered complete G-metric spaces. As an application, we give an existence and uniqueness for the solution of some initial-boundary-value problems. Our result generalizes and improves some theorems in the literature.