New Version For Hardy And Rogers type Mapping in Dislocated Metric Space

Abstract

In this paper we establish a common fixed point theorem for two pairs of weakly Compatible maps in dislocated metric( -metric) spaces. The purpose of this note is to prove the -metric versions for weakly compatible maps of new version for Hardy and Rogers[7] theorem which ultimately implies existence (and uniqueness in some cases) of  common fixed points for weakly compatible maps that satisfy conditions analogous to those of Banach, Kannan and Chatterjea [5].