Some Fixed Point Theorems in Generalized Dislocated Metric Spaces

Abstract

The notion of a generalized dislocated metric space is introduced, its topological properties are established and an analogue of seghals fixed point theorem is obtained from which existence and uniqueness of fixed points for self maps that satisfy the metric analogues of contractive conditions mentioned and it can be derived.

Keywords: Generalized dislocated metric, Kuratowski's axioms, coincidence point, Contractive conditions,