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 |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1528-3 |
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Article |
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doaj-1e054ea894c149ff9d0d52c8a096f2db2020-11-24T21:54:07ZengSpringerOpenJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tomonari Suzuki |
| 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 |
| author_facet |
Tomonari Suzuki |
| author_sort |
Tomonari Suzuki |
| title |
Basic inequality on a b-metric space and its applications |
| title_short |
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_sort |
basic inequality on a b-metric space and its applications |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2017-10-01 |
| 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. |
| 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 |
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1725868850057052160 |