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An inversion theorem for set-valued maps

Published online by Cambridge University Press:  17 April 2009

D. Aze
D. Aze
Affiliation:
Université de Perpignan, Mathématiques, Av. de Villeneuve, 66025 Perpignan, Cedex, France
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Abstract

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The aim of this paper is to give an inversion theorem for set-valued maps involving both some known results for functions and set-valued maps. To do this we introduce a notion of strict differentiability for set-valued maps and we use a Newton like method assuming the derivative to be surjective. Moreover we prove the pseudo-Lipschitz regularity of the inverse.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 3 , June 1988 , pp. 411 - 414
Copyright
Copyright © Australian Mathematical Society 1988

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