CSpace
On Fixed Point Property under Lipschitz and Uniform Embeddings
Zhang, Jichao1; Bao, Lingxin2,3; Su, Lili4
2018
Source PublicationJOURNAL OF FUNCTION SPACES
ISSN2314-8896
Pages6
AbstractWe 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*.
DOI10.1155/2018/4758546
Language英语
Funding ProjectEducational Commission of Hubei Province of China[B2018046] ; NSFC[11501108] ; NSFF[2015J01579]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000449201500001
PublisherHINDAWI LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31647
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Zhang, Jichao]'s Articles
[Bao, Lingxin]'s Articles
[Su, Lili]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhang, Jichao]'s Articles
[Bao, Lingxin]'s Articles
[Su, Lili]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhang, Jichao]'s Articles
[Bao, Lingxin]'s Articles
[Su, Lili]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.