Coupled and tripled fixed point theory in partially ordered metric spaces with application to initial value problem

In this paper, we introduce a new, simple and unified approach to coupled and tripled fixed point theory. By using our method, we first give a new coupled fixed point theorem. Then, we use our technique to present a new tripled fixed point result. As an application, we discuss the existence and uniqueness for solution of an initial value problem. Our results extend and improves some recent results in literature.