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Halkin, Hubert

Interior mapping theorem with set-valued derivatives. (English) Zbl 0349.49016

J. Anal. Math. 30, 200-207 (1976).
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Cited in 21 Documents

MSC:

49K27 Optimality conditions for problems in abstract spaces
49K99 Optimality conditions
90C99 Mathematical programming
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References:

[1] F. H. Clarke,Necessary conditions for nonsmooth problems in optimal control and calculus of variations, Dissertation, University of Washington, June, 1973.
[2] Halkin, H., On the necessary condition for optimal control of nonlinear systems, J. Analyse Math., 12, 1-82 (1964) · Zbl 0128.10103 · doi:10.1007/BF02807428
[3] Halkin, H., Implicit functions and optimization problems without continuous differentiability of the data, SIAM J. Control, 12, 229-236 (1974) · Zbl 0241.90057 · doi:10.1137/0312017
[4] 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.
[5] H. Halkin,Mathematical programming without differentiability, to appear in Proceedings of the Symposium on Calculus of Variations and Control Theory, Madison, September 1975.
[6] B. H. Pourciau,A generalized derivative and its applications to classical analysis, optimization and mathematical economics, (to appear).
[7] J. Warga,Necessary conditions without differentiability in optimal control, to appear in J. Differential Equations. · Zbl 0272.49005
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