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Conical inverse mapping theorems

Published online by Cambridge University Press:  17 April 2009

Hélène Frankowska
Hélène Frankowska
Affiliation:
Ceremade Université de Paris-Dauphine, 75775 Paris Cedex 16, France
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Abstract

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We prove a high order conical inverse mapping theorem for set-valued maps on complete metric spaces. An application to a control problem is provided.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 1 , February 1992 , pp. 53 - 60
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Aubin, J-P. and Frankowska, H., Set-valued analysis (Birkhäuser, Boston, Basel, Berlin, 1990).Google Scholar
[2]Frankowska, H., ‘Théorème d'application ouverte pour des correspondances’, Comptes-Rendus de l'Académie des Sciences Série 1 302 (1986), 559–562.Google Scholar
[3]Frankowska, H., ‘Théorèmes d'application ouverte et de fonction inverse’, Comptes-Rendus de l'Académie des Sciences 305 (1987), 773–776.Google Scholar
[4]Frankowska, H., ‘An open mapping principle for set-valued maps’, J. Math. Anal. Appl. 127 (1987), 172–180.CrossRefGoogle Scholar
[5]Frankowska, H., ‘High order inverse function theorems’, Proceedings of the Conference on Nonlinear Analysis and Applications, Perpignan, June, 1987, in Analyse Non Linéaire, Editors Attouch, , Aubin, , Clarke, , Ekeland, , pp. 283–304 (Gauthier-Villars & C.R.M., Université de Montréal, 1989).Google Scholar
[6]Frankowska, H., ‘Some inverse mapping theorems’, Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990), 183–234.CrossRefGoogle Scholar
[7]Frankowska, H., ‘Local controllability of control systems with feedbacks’, J. Optim. Theory Appl. 60 (1989), 277–296.CrossRefGoogle Scholar
[8]Kawski, M., ‘An angular open mapping principle’, Proceedings of the 8th International Conference on Analysis and Optimization of Systems, in Lecture Notes in Control and Information Sciences, pp. 361–371 (Springer-Verlag, Berlin, Heidelberg, New York, 1988).Google Scholar