Maximal monotone relations and the second derivatives of nonsmooth functions
Tài liệu tham khảo
Alexandrov, 1939, The existence almost everywhere of the second differential of a convex function and some associated properties of convex surfaces, Ucenye Zapiski Leningr. Gos. Univ. Ser. Mat., t. 37, 3
Attouch, 1979, Familles d’opérateurs maximaux monotones et mesurabilité, Annali di Matematica Pura et Applicata, t. 120, 35, 10.1007/BF02411939
Attouch, 1983, A convergence for bivariate functions aimed at the convergence of saddle values, in Mothematical Theory of Optimization, t. 997
Attouch, 1983, A convergence theory for saddle functions, Trans. Amer. Math. Soc., t. 226
Aubin, 1984, Lipschitz behavior of solutions to convex minimization problems, Math. of Op. Research, t. 9, 87, 10.1287/moor.9.1.87
A. Auslender, Differential properties of the support function of the ε-subdifferential of a convex function, Math. Programming, forthcoming.
Clarke, 1983
Clarke, 1975, Generalized gradients and applications, Trans. Amer. Math. Soc., t. 205, 247, 10.1090/S0002-9947-1975-0367131-6
Clarke, 1976, On the inverse function theorem, Pacific J. Math., t. 67, 97, 10.2140/pjm.1976.64.97
B. Cornet, Regularity properties of normal and tangent cones, forthcoming.
Dolecki, 1983, Convergence of functions: equi-semicontinuity, Trans. Amer. Math. Soc., t. 276, 409, 10.1090/S0002-9947-1983-0684518-7
Hiriart-Urruty, 1982, Approximating a second-order directional derivative for nonsmooth convex functions, SIAM J. Control Opt., t. 20, 783, 10.1137/0320057
Hiriart-Urruty, 1984, Calculus rules on the approximate second-order directional derivative of a convex function, SIAM J. Control Opt., t. 22, 381, 10.1137/0322025
Lemarechal, 1980, Sur la différentiabilité de la fonction d’appui du sous-différentiel approaché, C. R. Acad. Sci. Paris, t. 290, 855
Mignot, 1976, Contrôle dans les inéquations variationnelles elliptiques, J. Functional Anal., t. 22, 130, 10.1016/0022-1236(76)90017-3
Minty, 1962, Monotone (nonlinear) operations in Hilbert space, Duke Math. J., t. 29, 341
Penot, 1981, A characterization of tangential regularity, Nonlinear Anal., t. 5, 625, 10.1016/0362-546X(81)90079-1
Rockafellar, 1970
Rockafellar, 1970, Monotone operators associated with saddle functions and minimax problems, in Nonlinear Functional Analysis, t. 18, 241
Rockafellar, 1983, Generalized subgradients in mathematical programming, 368
Rockafellar, 1984
Saks, 1937
Salinetti, 1981, On the convergence of closed-valued measurable multifunctions, Trans. Amer. Math. Soc., t. 266, 275
Wets, 1980, Convergence of convex function, variational inequalities and convex optimization problems, 405
Auslender, 1984, Stability in mathematical programming with nondifferentiable data, SIAM J. Control Opt., t. 22, 239, 10.1137/0322017
Reshetniak, 1968, Generalized derivatives and differentiability almost everywhere, Mat. Sbornik, t. 75, 323