Solution of Some Impulsive Differential Equations via Coupled Fixed Point

Abstract

In this article, we employ the notion of coupled fixed points on a complete b-metric space endowed with a graph to give sufficient conditions to guarantee a solution of system of differential equations with impulse effects. We derive recisely some new coupled fixed point theorems under some conditions and then apply our results to achieve our goal.

Keywords

• couple fixed points
• b-metric spaces
• mixed G-monotone