• ON DISLOCATED METRIC SPACES

Abstract

The notion of dislocated metric is one of the various generalizations of metric that retains a variant of the illustrious Banach’s Contraction principle and has useful applications in the semantic analysis of logic programming. The purpose of this note is to study topological aspects of a dislocated metric space and prove a dislocated metric version of Seghal’s fixed point theorem which ultimately implies existence(and uniqueness in some cases) of a fixed point for self maps that satisfy conditions analogous to those of Banach, Kannan, Bianchini, Reitch and Rakotch [4].