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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Semigroups of mappings with rigid Lipschitz constant


Author: Enrique Llorens-Fuster
Journal: Proc. Amer. Math. Soc. 130 (2002), 1407-1412
MSC (2000): Primary 47H10; Secondary 46B03, 46B20
Published electronically: October 5, 2001
MathSciNet review: 1879964
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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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Additional Information

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

DOI: https://doi.org/10.1090/S0002-9939-01-06333-X
Keywords: Uniformly lipschitzian mappings, Lipschitz constant, fixed points
Received by editor(s): November 17, 2000
Published electronically: 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
Article copyright: © Copyright 2001 American Mathematical Society