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Fixed points of self mappings of noncompact convex sets

✍ Scribed by G. O. Müller


Book ID
112648050
Publisher
Springer
Year
1982
Tongue
English
Weight
409 KB
Volume
39
Category
Article
ISSN
0003-889X

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✍ Teck-Cheong Lim; Pei-Kee Lin; C. Petalas; T. Vidalis 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 76 KB

In this paper, we prove that every isometry from a nonempty weakly compact convex set K into itself fixes a point in the Chebyshev center of K, provided K satisfies the hereditary fixed point property for isometries. In particular, all isometries from a nonempty bounded closed convex subset of a uni