On Fixed Point Property under Lipschitz and Uniform Embeddings | |
Zhang, Jichao1; Bao, Lingxin2,3; Su, Lili4 | |
刊名 | JOURNAL OF FUNCTION SPACES
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2018 | |
页码 | 6 |
ISSN号 | 2314-8896 |
DOI | 10.1155/2018/4758546 |
英文摘要 | We first present a generalization of omega*-Gateaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has the fixed point property for isometrics if it Lipschitz embeds into a super reflexive space. With the application of Baudier-Lancien-Schlumprecht's theorem, we finally show that every nonempty hounded closed convex subset of a Banach space has the fixed point property for continuous affine mappings if it uniformly embeds into the Tsirelson space T*. |
资助项目 | Educational Commission of Hubei Province of China[B2018046] ; NSFC[11501108] ; NSFF[2015J01579] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | HINDAWI LTD |
WOS记录号 | WOS:000449201500001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31646] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Bao, Lingxin |
作者单位 | 1.Hubei Univ Technol, Sch Sci, Wuhan 430068, Hubei, Peoples R China 2.Fujian Agr & Forestry Univ, Sch Comp & Informat, Fuzhou 350002, Fujian, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 4.Engn Univ Chinese Peoples, Armed Police Force, Xian 710086, Shaanxi, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang, Jichao,Bao, Lingxin,Su, Lili. On Fixed Point Property under Lipschitz and Uniform Embeddings[J]. JOURNAL OF FUNCTION SPACES,2018:6. |
APA | Zhang, Jichao,Bao, Lingxin,&Su, Lili.(2018).On Fixed Point Property under Lipschitz and Uniform Embeddings.JOURNAL OF FUNCTION SPACES,6. |
MLA | Zhang, Jichao,et al."On Fixed Point Property under Lipschitz and Uniform Embeddings".JOURNAL OF FUNCTION SPACES (2018):6. |
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