Some Remarks on Completeness and Compactness in G-Metric Spaces
Complete metric spaces havegreat importance in functional analysis and its applications. The purpose ofthis paper is to introduce and study on some types of completeness ingeneralized metric spaces by the aid of Bourbaki Cauchy and cofinallyBourbaki-Cauchy sequences which are belonging to the class...
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Sakarya University
2018-12-01
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| Series: | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/559054 |
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| author | Merve İlkhan Emrah Evren Kara |
| author_facet | Merve İlkhan Emrah Evren Kara |
| author_sort | Merve İlkhan |
| collection | DOAJ |
| description | Complete metric spaces havegreat importance in functional analysis and its applications. The purpose ofthis paper is to introduce and study on some types of completeness ingeneralized metric spaces by the aid of Bourbaki Cauchy and cofinallyBourbaki-Cauchy sequences which are belonging to the class bigger than theclass of Cauchy sequences. Moreover, by transporting some topological conceptsto generalized metric spaces, the relations between these concepts and thesenew types of completeness properties are given. |
| format | Article |
| id | doaj-art-a0a132767b254c3db8229276fbe7af5a |
| institution | OA Journals |
| issn | 2147-835X |
| language | English |
| publishDate | 2018-12-01 |
| publisher | Sakarya University |
| record_format | Article |
| series | Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi |
| spelling | doaj-art-a0a132767b254c3db8229276fbe7af5a2025-08-20T02:31:48ZengSakarya UniversitySakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi2147-835X2018-12-012261893190010.16984/saufenbilder.45334328Some Remarks on Completeness and Compactness in G-Metric SpacesMerve İlkhan0https://orcid.org/0000-0002-0831-1474Emrah Evren Kara1https://orcid.org/0000-0002-6398-4065DÜZCE ÜNİVERSİTESİDÜZCE ÜNİVERSİTESİComplete metric spaces havegreat importance in functional analysis and its applications. The purpose ofthis paper is to introduce and study on some types of completeness ingeneralized metric spaces by the aid of Bourbaki Cauchy and cofinallyBourbaki-Cauchy sequences which are belonging to the class bigger than theclass of Cauchy sequences. Moreover, by transporting some topological conceptsto generalized metric spaces, the relations between these concepts and thesenew types of completeness properties are given.https://dergipark.org.tr/tr/download/article-file/559054generalized metric spacescompactnesscompleteness |
| spellingShingle | Merve İlkhan Emrah Evren Kara Some Remarks on Completeness and Compactness in G-Metric Spaces Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi generalized metric spaces compactness completeness |
| title | Some Remarks on Completeness and Compactness in G-Metric Spaces |
| title_full | Some Remarks on Completeness and Compactness in G-Metric Spaces |
| title_fullStr | Some Remarks on Completeness and Compactness in G-Metric Spaces |
| title_full_unstemmed | Some Remarks on Completeness and Compactness in G-Metric Spaces |
| title_short | Some Remarks on Completeness and Compactness in G-Metric Spaces |
| title_sort | some remarks on completeness and compactness in g metric spaces |
| topic | generalized metric spaces compactness completeness |
| url | https://dergipark.org.tr/tr/download/article-file/559054 |
| work_keys_str_mv | AT merveilkhan someremarksoncompletenessandcompactnessingmetricspaces AT emrahevrenkara someremarksoncompletenessandcompactnessingmetricspaces |