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Regular points of Lipschitz functions. (English) Zbl 0427.58008

58C15 Implicit function theorems; global Newton methods on manifolds
58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
58C05 Real-valued functions on manifolds
58B99 Infinite-dimensional manifolds
Full Text: DOI
[1] N. Bourbaki, Éléments de mathématique. Fasc. XXXVI. Variétés différentielles et analytiques. Fascicule de résultats (Paragraphes 8 à 15), Actualités Scientifiques et Industrielles, No. 1347, Hermann, Paris, 1971 (French). · Zbl 0217.20401
[2] F. H. Clarke, Necessary conditions for nonsmooth problems in optimal control, Ph. D. Thesis, Univ. of Washington, 1973.
[3] Frank H. Clarke, A new approach to Lagrange multipliers, Math. Oper. Res. 1 (1976), no. 2, 165 – 174. · Zbl 0404.90100
[4] I. Ekeland, On the variational principle, J. Math. Anal. Appl. 47 (1974), 324 – 353. · Zbl 0286.49015
[5] Alan J. Hoffman, On approximate solutions of systems of linear inequalities, J. Research Nat. Bur. Standards 49 (1952), 263 – 265.
[6] A. D. Ioffe, Necessary and sufficient conditions for a local minimum (to appear). · Zbl 0417.49027
[7] Теория ѐкстремал\(^{\приме}\)ных задач., Издат. ”Наука”, Мосцощ, 1974 (Руссиан). Серия ”Нелинейный Анализ и его Приложения”. [Сериес ин Нонлинеар Аналысис анд иц Апплицатионс].
[8] Gérard Lebourg, Valeur moyenne pour gradient généralisé, C. R. Acad. Sci. Paris Sér. A-B 281 (1975), no. 19, Ai, A795 – A797 (French, with English summary). · Zbl 0317.46034
[9] Ѐлементы функционал\(^{\приме}\)ного анализа, Сецонд ревисед едитион, Издат. ”Наука”, Мосцощ, 1965 (Руссиан). · Zbl 0044.32501
[10] Stephen M. Robinson, An application of error bounds for convex programming in a linear space, SIAM J. Control 13 (1975), 271 – 273. · Zbl 0297.90072
[11] R. T. Rockafellar, Convex analysis, Princeton Univ. Press, Princeton, N. J., 1970. · Zbl 0193.18401
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