• ON DISLOCATED METRIC SPACES

Dr. I. Rambhadra Sarma, P. Sumati Kumari*

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].

Keywords


dislocated metric, kuratowski’s axioms, coincidence point, Contractive conditions.

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