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The asymptotic behaviour of semigroups of nonlinear contractions having large sets of fixed points

Published online by Cambridge University Press:  14 November 2011

A. Pazy
A. Pazy
Affiliation:
Institute of Mathematics, The Hebrew University of Jerusalem
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Synopsis

The asymptotic behaviour of semigroups of nonlinear contractions which have a set of fixed points containing a ball of finite codimension is studied. It is shown that the ω-limit sets of such semigroups are finite dimensional tori, and that an analogue of the classical Kronecker-Weil theorem holds for such semigroups.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 80 , Issue 3-4 , 1978 , pp. 261 - 271
Copyright
Copyright © Royal Society of Edinburgh 1978

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References

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