A GENERALIZATION OF GERAGHTY'S THEOREM IN PARTIALLY ORDERED G-METRIC SPACES AND APPLICATION TO ORDINARY DIFFERENTIAL EQUATIONS

Abstract

The purpose of this article is to present some coincidence and fixed point theo-rems for generalized contraction in partially ordered complete G-metric spaces. As an ap-plication, we give an existence and uniqueness for the solution of an initial-boundary-valueproblem. These results generalize and extend several well known results in the literature.