On Fixed Point Property under Lipschitz and Uniform Embeddings

doi:10.1155/2018/4758546

CSpace

	On Fixed Point Property under Lipschitz and Uniform Embeddings
	Zhang, Jichao 1; Bao, Lingxin 2,3; Su, Lili 4
	2018
发表期刊	JOURNAL OF FUNCTION SPACES
ISSN	2314-8896
页码	6
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.
DOI	10.1155/2018/4758546
语种	英语
资助项目	Educational Commission of Hubei Province of China[B2018046] ; NSFC[11501108] ; NSFF[2015J01579]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000449201500001
出版者	HINDAWI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31647
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.