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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | December 1, 2018 |
Submission Date | August 14, 2018 |
Acceptance Date | September 17, 2018 |
Published in Issue | Year 2018 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.