Basic inequality on a b-metric space and its applications
Abstract We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-10-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1528-3 |
| _version_ | 1818963565851181056 |
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| author | Tomonari Suzuki |
| author_facet | Tomonari Suzuki |
| author_sort | Tomonari Suzuki |
| collection | DOAJ |
| description | Abstract We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not. |
| first_indexed | 2024-12-20T12:47:15Z |
| format | Article |
| id | doaj.art-1e054ea894c149ff9d0d52c8a096f2db |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-20T12:47:15Z |
| publishDate | 2017-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-1e054ea894c149ff9d0d52c8a096f2db2022-12-21T19:40:16ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-10-012017111110.1186/s13660-017-1528-3Basic inequality on a b-metric space and its applicationsTomonari Suzuki0Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of TechnologyAbstract We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not.http://link.springer.com/article/10.1186/s13660-017-1528-3b-metric spaceCauchy sequencefixed point theorem |
| spellingShingle | Tomonari Suzuki Basic inequality on a b-metric space and its applications Journal of Inequalities and Applications b-metric space Cauchy sequence fixed point theorem |
| title | Basic inequality on a b-metric space and its applications |
| title_full | Basic inequality on a b-metric space and its applications |
| title_fullStr | Basic inequality on a b-metric space and its applications |
| title_full_unstemmed | Basic inequality on a b-metric space and its applications |
| title_short | Basic inequality on a b-metric space and its applications |
| title_sort | basic inequality on a b metric space and its applications |
| topic | b-metric space Cauchy sequence fixed point theorem |
| url | http://link.springer.com/article/10.1186/s13660-017-1528-3 |
| work_keys_str_mv | AT tomonarisuzuki basicinequalityonabmetricspaceanditsapplications |