Generalized contractive mappings on quasimetric spaces

Abstract

In this paper, we introduce a new class of generalized contractive mappings to establish a fixed point theorem for this class of mappings in complete quasimetric spaces. In fact, at first we present the notion of ordered cyclic weakly (?, ?, A, B)- contraction and then we establish a fixed point theorem for such mappings in complete ordered s-quasimetric spaces. This can be considered as an improvement of some old fixed point theorems in the literature. Finally, we provide an example to show that our result is genuine generalizations of some fixed point theorems.