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Kuczumow, Tadeusz ; Stachura, Adam
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 3, pp. 399-402
MSC: 32F45, 32H15, 46C05, 47H09, 47H10, 47H99, 54E40 | MR 972824 | Zbl 0672.47035
Related articles:
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. II.
References:
[1] T. FRANZONI E. VESENTINI: Holomorphic maps and invariant distances. North-Holland, Amsterdam 1980. MR 0563329
[2] K. GOEBEL: Uniform convexity of Caratheodory's metric on the Hilbert ball and its consequences. Istituto Nazionale di Alta Matematica Francesco Severi, Symposia Mathematica XXVI (1982), 163-179. MR 0663031 | Zbl 0488.47026
[3] K. GOEBEL T. SĘK0WSKI A. STACHURA: Uniform convexity of the hyperbolic metric and fixed points of holomorphic mappings in the Hilbert ball. Nonlinear Analysis 4 (1980), 1011-1021. MR 0586863
[4] E. HELLY: Über Mengen konvexer Körper mit gemeinschaftlichen Punkten. über. Deutsch. Math. Verein 32 (1923), 175-176.
[5] T. KUCZUMOW: Fixed points of holomorphic mappings in the Hilbert ball. Colloq. Math., in print. MR 0964327 | Zbl 0674.47039
[6] Z. OPIAL: Nonexpansive and monotone mappings in Banach spaces. Lecture Notes, Brown University, 1967.
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