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Analysis and optimization of Lipschitz continuous mappings. (English) Zbl 0336.26008


MSC:

26B35 Special properties of functions of several variables, Hölder conditions, etc.
90C30 Nonlinear programming
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References:

[1] Clarke, F. H.,Necessary Conditions for Nonsmooth Problems in Optimal Control and Calculus of Variations, University of Washington, Ph.D. Thesis, 1973.
[2] Caratheodory, C.,Calculus of Variations and Partial Differential Equations of the First Order, Holden-Day, San Francisco, California, 1967.
[3] Halkin, H.,Necessary Conditions in Mathematical Programming and Optimal Control, Optimal Control Theory and Its Applications, Edited by B. J. Kirby, Springer-Verlag, Berlin, Germany, pp. 113-165, 1974. · Zbl 0314.90087
[4] Halkin, H.,Implicit Functions and Optimization Problems Without Continuous Differentiability of the Data, SIAM Journal on Control, Vol. 12, pp. 229-236, 1974. · Zbl 0285.90070
[5] Halkin, H.,Interior Mapping Theorem with Set-Valued Derivatives, Journal d’Analyse Mathématique (to appear). · Zbl 0349.49016
[6] Stein, E. M.,Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, New Jersey, 1970. · Zbl 0207.13501
[7] Clarke, F. H.,The Maximum Principle under Minimal Hypotheses (to appear). · Zbl 0344.49009
[8] Warga, J.,Necessary Conditions without Differentiability in Optimal Control, Journal of Differential Equations (to appear). · Zbl 0272.49005
[9] Warga, J.,Optimal Control of Differential and Functional Equations, Academic Press, New York, New York, 1972. · Zbl 0253.49001
[10] Zaremba, S. C., Sur les Equations au Paratingent, Bulletin of the American Mathematical Society, Vol. 60, pp. 139-160, 1936. · JFM 62.0507.01
[11] Dieudonne, J.,Treatise on Analysis, Vol. 2, Academic Press, New York, New York, 1970.
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