Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm
Nearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property. It implies that Banach spaces have weak fixed point property for nonexpansive mappings. The necessary and sufficient condition...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2022-04-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2087 |
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| _version_ | 1849413073247404032 |
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| author | Cui Yun-an Dai Ming-jun |
| author_facet | Cui Yun-an Dai Ming-jun |
| author_sort | Cui Yun-an |
| collection | DOAJ |
| description | Nearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property. It implies that Banach spaces have weak fixed point property for nonexpansive mappings. The necessary and sufficient condition for the Orlicz sequence space with Luxemburg norm to be sub nearly uniformly convex is given. |
| format | Article |
| id | doaj-art-1b3f1ed7a52b4f5dae995b7dea9b3dc9 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2022-04-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-1b3f1ed7a52b4f5dae995b7dea9b3dc92025-08-20T03:34:14ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832022-04-01270214915310.15938/j.jhust.2022.02.019Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg NormCui Yun-an0Dai Ming-jun1School of Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaNearly uniform noncreasy is a important property in Banach spaces. In this paper we introduce a new geometric property, which is called sub nearly uniformly convex property. It implies that Banach spaces have weak fixed point property for nonexpansive mappings. The necessary and sufficient condition for the Orlicz sequence space with Luxemburg norm to be sub nearly uniformly convex is given.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2087orlicz sequence spacesluxemburg normsub nearly uniformly convex |
| spellingShingle | Cui Yun-an Dai Ming-jun Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm Journal of Harbin University of Science and Technology orlicz sequence spaces luxemburg norm sub nearly uniformly convex |
| title | Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm |
| title_full | Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm |
| title_fullStr | Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm |
| title_full_unstemmed | Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm |
| title_short | Sub Nearly Uniformly Convex of Orlicz Sequence Spaces Equipped with Luxemburg Norm |
| title_sort | sub nearly uniformly convex of orlicz sequence spaces equipped with luxemburg norm |
| topic | orlicz sequence spaces luxemburg norm sub nearly uniformly convex |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2087 |
| work_keys_str_mv | AT cuiyunan subnearlyuniformlyconvexoforliczsequencespacesequippedwithluxemburgnorm AT daimingjun subnearlyuniformlyconvexoforliczsequencespacesequippedwithluxemburgnorm |