P. Sumati Kumari

Convergence Axioms on Dislocated Symmetric Spaces

Dislocated symmetric spaces are introduced, and implications and nonimplications among various kinds of convergence axioms are derived.

Completion of a Dislocated Metric Space

We provide a construction for the completion of a dislocated metric space (abbreviated -metric space); we also prove that the completion of the metric associated with a -metric coincides with the metric associated with the completion of the -metric.

Some fixed point theorems in generating space of b-quasi-metric family

Abstract The purpose of this work is to study some properties of “Generating space of b-quasi-metric family”(simply

d-Neighborhood system and generalized F-contraction in dislocated metric space

G_{bq}

Metrization theorem for a weaker class of uniformities

Gbq-family) and derive some fixed point theorems using some standard contractions. Presented theorems extend and generalize many well-known results in the literature of fixed point theory .