A fixed point theorem for mappings satisfying a new common range property

Abstract

In this paper a general fixed point theorem for two pairs of mappings satisfying a new type of common range property without limit of sequences in metric spaces are proved.

Fixed point theorems of generalized Gregus type in quasi-metric spaces for two pairs of mappings satisfying common coincidence range property

“…Quite recently, the present authors introduced in [28] the notion of coincidence range property in metric spaces. Similar with Definition 1.5 [28] we define coincidence range property in quasi metric spaces.…”