Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I.

Tadeusz Kuczumow; Adam Stachura

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 3, page 399-402
  • ISSN: 0010-2628

How to cite

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Kuczumow, Tadeusz, and Stachura, Adam. "Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I.." Commentationes Mathematicae Universitatis Carolinae 029.3 (1988): 399-402. <http://eudml.org/doc/17652>.

@article{Kuczumow1988,
author = {Kuczumow, Tadeusz, Stachura, Adam},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {extensions of nonexpansive mappings; hyperbolic metric; Kirzbraum theorem},
language = {eng},
number = {3},
pages = {399-402},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I.},
url = {http://eudml.org/doc/17652},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Kuczumow, Tadeusz
AU - Stachura, Adam
TI - Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I.
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 3
SP - 399
EP - 402
LA - eng
KW - extensions of nonexpansive mappings; hyperbolic metric; Kirzbraum theorem
UR - http://eudml.org/doc/17652
ER -

References

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  1. T. FRANZONI E. VESENTINI, Holomorphic maps and invariant distances, North-Holland, Amsterdam 1980. (1980) MR0563329
  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. (1982) Zbl0488.47026MR0663031
  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. (1980) MR0586863
  4. E. HELLY, Über Mengen konvexer Körper mit gemeinschaftlichen Punkten, über. Deutsch. Math. Verein 32 (1923), 175-176. (1923) 
  5. T. KUCZUMOW, Fixed points of holomorphic mappings in the Hilbert ball, Colloq. Math., in print. Zbl0674.47039MR0964327
  6. Z. OPIAL, Nonexpansive and monotone mappings in Banach spaces, Lecture Notes, Brown University, 1967. (1967) 

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