The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces
We show that the generalized Cesàro sequence spaces possess the locally uniform nonsquare and have the fixed point property, but they are not uniformly nonsquare. This result is related to the result of the paper by J. Falset et al. (2006) by giving the examples and the motivation to find the geo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-12-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/162037 |
| _version_ | 1818551994555564032 |
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| author | Narin Petrot |
| author_facet | Narin Petrot |
| author_sort | Narin Petrot |
| collection | DOAJ |
| description | We show that the generalized Cesàro sequence spaces possess the locally uniform nonsquare and have the fixed point property, but they are not uniformly nonsquare. This result is related to the result of the paper by J. Falset et al. (2006) by giving the examples and the motivation to find the geometric properties that are weaker than uniformly nonsquare but still possess the fixed point property in any Banach spaces. |
| first_indexed | 2024-12-12T09:07:18Z |
| format | Article |
| id | doaj.art-7a384eb2f1bf4c6fa68ce3cefc234d4e |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-12T09:07:18Z |
| publishDate | 2008-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-7a384eb2f1bf4c6fa68ce3cefc234d4e2022-12-22T00:29:37ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-12-01200810.1155/2008/162037The Locally Uniform Nonsquare in Generalized Cesàro Sequence SpacesNarin PetrotWe show that the generalized Cesàro sequence spaces possess the locally uniform nonsquare and have the fixed point property, but they are not uniformly nonsquare. This result is related to the result of the paper by J. Falset et al. (2006) by giving the examples and the motivation to find the geometric properties that are weaker than uniformly nonsquare but still possess the fixed point property in any Banach spaces.http://dx.doi.org/10.1155/2008/162037 |
| spellingShingle | Narin Petrot The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces Journal of Inequalities and Applications |
| title | The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces |
| title_full | The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces |
| title_fullStr | The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces |
| title_full_unstemmed | The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces |
| title_short | The Locally Uniform Nonsquare in Generalized Cesàro Sequence Spaces |
| title_sort | locally uniform nonsquare in generalized cesafa ro sequence spaces |
| url | http://dx.doi.org/10.1155/2008/162037 |
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