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Analytic contractive vector fields in Fréchet spaces

Published online by Cambridge University Press:  17 April 2009

Duong Minh Duc
Duong Minh Duc
Affiliation:
Faculty of Mathematics, University of Hochiminh City, Box 923, Hochiminh City, S.R. Vietnam.
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Abstract

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Using degree theory we establish the inverse mapping theorem and a Sard-Smale theorem for analytic contractive vector fields in Fréchet spaces. Applying these theorems we obtain Cronin's theorem relating topological degree to the number of zeros of analytic contractive vector fields.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 2 , April 1983 , pp. 165 - 183
Copyright
Copyright © Australian Mathematical Society 1983

References

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