Some Remarks on Completeness and Compactness in G-Metric Spaces

Year 2018, Volume: 22 Issue: 6, 1893 - 1900, 01.12.2018

Merve İlkhan , Emrah Evren Kara

https://doi.org/10.16984/saufenbilder.453343

https://izlik.org/JA79FX95XW

Abstract

Complete metric spaces have
great importance in functional analysis and its applications. The purpose of
this paper is to introduce and study on some types of completeness in
generalized metric spaces by the aid of Bourbaki Cauchy and cofinally
Bourbaki-Cauchy sequences which are belonging to the class bigger than the
class of Cauchy sequences. Moreover, by transporting some topological concepts
to generalized metric spaces, the relations between these concepts and these
new types of completeness properties are given.

Keywords

generalized metric spaces , compactness , completeness

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