Proceedings of the American Mathematical Society

Author(s): Enrique Llorens-Fuster
Journal: Proc. Amer. Math. Soc. 130 (2002), 1407-1412.
MSC (2000): Primary 47H10; Secondary 46B03, 46B20
Posted: October 5, 2001
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Abstract: It is shown that two well-known uniformly fixed point free lipschitzian semigroups of mappings have minimal Lipschitz constant on the positive part of the unit ball of $\ell_2$ . This implies that a question raised by T. Kuczumow has a negative answer.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47H10, 46B03, 46B20

Enrique Llorens-Fuster
Affiliation: Departamento de Análisis Matemático, Facultad de Matemáticas, Baton 46100 Burjassot, Valencia, Spain
Email: enrique.llorens@uv.es

DOI: 10.1090/S0002-9939-01-06333-X
PII: S 0002-9939(01)06333-X
Keywords: Uniformly lipschitzian mappings, Lipschitz constant, fixed points
Received by editor(s): November 17, 2000
Posted: October 5, 2001
Additional Notes: The author was supported in part by a Grant from MCYT, BFM2000-0344-C02-02.
Communicated by: Jonathan M. Borwein
Copyright of article: Copyright 2001, American Mathematical Society

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