Geodesic
A Remark on Nonexpansive Mappings
Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 113-115

Voir la notice de l'article provenant de la source Cambridge University Press

Let X be a closed convex subset of a Banach space and let T: X → X be a nonexpansive mapping, i.e. 
Goebel, Kazimierz; Koter, Małgorzata. A Remark on Nonexpansive Mappings. Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 113-115. doi: 10.4153/CMB-1981-019-3
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[1] 1. Browder, F. E., Nonexpansive nonlinear operators in Banach spaces, Proc. Nat. Acad. Sci. US. 54 (1962), 1041-1044. Google Scholar

[2] 2. Goehde, D., Zum Prinzip der kontraktiven Abbildung, Math. Nachr. 30 (1962), 251-258. Google Scholar

[3] 3. Karlovitz, L. E., On nonexpansive mappings, Proc. Amer. Math. Soc. 55 (1962), 321-325. Google Scholar

[4] 4. Kirk, W. A., A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthl. 72 (1962), 1004-1006. Google Scholar

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