Interior mapping theorem with set-valued derivatives

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F. H. Clarke,Necessary conditions for nonsmooth problems in optimal control and calculus of variations, Dissertation, University of Washington, June, 1973.
H. Halkin,On the necessary condition for optimal control of nonlinear systems, J. Analyse Math.12 (1964), 1–82.
Article MATH MathSciNet Google Scholar
H. Halkin,Implicit functions and optimization problems without continuous differentiability of the data, SIAM J. Control12 (1974), 229–236.
Article MATH MathSciNet Google Scholar
H. Halkin,Brouwer fixed point theorem versus contraction mapping theorem in optimal control theory, inInternational Conference on Differential Equations, H. A. Antosiewicz (ed.), Academic Press, 1975, pp. 337–366.
H. Halkin,Mathematical programming without differentiability, to appear in Proceedings of the Symposium on Calculus of Variations and Control Theory, Madison, September 1975.
B. H. Pourciau,A generalized derivative and its applications to classical analysis, optimization and mathematical economics, (to appear).
J. Warga,Necessary conditions without differentiability in optimal control, to appear in J. Differential Equations.

Department of Mathematics, University of California, 92037, San Diego, La Jolla, Ca., USA
Hubert Halkin

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Hubert Halkin
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Halkin, H. Interior mapping theorem with set-valued derivatives. J. Anal. Math. 30, 200–207 (1976). https://doi.org/10.1007/BF02786714

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