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On Fixed Point Property under Lipschitz and Uniform Embeddings
Joint Authors
Zhang, Jichao
Bao, Lingxin
Su, Lili
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-21
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We first present a generalization of ω⁎-Gâteaux 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 isometries if it Lipschitz embeds into a super reflexive space.
With the application of Baudier-Lancien-Schlumprecht’s theorem, we finally show that every nonempty bounded 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⁎.
American Psychological Association (APA)
Zhang, Jichao& Bao, Lingxin& Su, Lili. 2018. On Fixed Point Property under Lipschitz and Uniform Embeddings. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1186411
Modern Language Association (MLA)
Zhang, Jichao…[et al.]. On Fixed Point Property under Lipschitz and Uniform Embeddings. Journal of Function Spaces No. 2018 (2018), pp.1-6.
https://search.emarefa.net/detail/BIM-1186411
American Medical Association (AMA)
Zhang, Jichao& Bao, Lingxin& Su, Lili. On Fixed Point Property under Lipschitz and Uniform Embeddings. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-6.
https://search.emarefa.net/detail/BIM-1186411
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186411