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

Mahmoud Bousselsal, Bader Almohaimeed

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.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)