Fixed points in binary relation ordered dislocated quasi-metric spaces

Abstract

In this paper, we prove some fixed point theorems in binary relation ordered dislocated quasi-metric spaces. These theorems generalize some previous results (see, J. J. Neito, and R. Rodriguez-Lopez, Contractive mappings theorems in partially ordered sets and applications to ordinary differential equations, Order, Vol. 22(2005), 223–239, 2005)