-
1
-
-
34250533132
-
Fréchet differentiability of convex functions
-
E. Asplund (1968). Fréchet differentiability of convex functions. Acta Math., 121, 31-47.
-
(1968)
Acta Math.
, vol.121
, pp. 31-47
-
-
Asplund, E.1
-
2
-
-
84966213239
-
A smooth variational principle with application to subdifferentiability and differentiability of convex functions
-
J.M. Borwein and D. Preiss (1987). A smooth variational principle with application to subdifferentiability and differentiability of convex functions. Trans. Amer. Math. Soc., 303, 517-527.
-
(1987)
Trans. Amer. Math. Soc.
, vol.303
, pp. 517-527
-
-
Borwein, J.M.1
Preiss, D.2
-
5
-
-
0016092731
-
On the variational principle
-
I. Ekeland (1974). On the variational principle. J. Math. Anal. Appl., 47, 324-353.
-
(1974)
J. Math. Anal. Appl.
, vol.47
, pp. 324-353
-
-
Ekeland, I.1
-
6
-
-
0002574218
-
Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss
-
M. Fabrian (1989). Subdifferentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss. Acta Univ. Carolinae, 30, 51-56.
-
(1989)
Acta Univ. Carolinae
, vol.30
, pp. 51-56
-
-
Fabrian, M.1
-
7
-
-
0001342523
-
Nonsmooth characterizations of Asplund spaces and smooth variational principles
-
M. Fabian and B.S. Mordukhovich (1998). Nonsmooth characterizations of Asplund spaces and smooth variational principles. Set-Valued Analysis, 6, 381-406.
-
(1998)
Set-Valued Analysis
, vol.6
, pp. 381-406
-
-
Fabian, M.1
Mordukhovich, B.S.2
-
8
-
-
0033416608
-
Separable reduction and supporting properties of Fréchet-like normals in Banach spaces
-
M. Fabian and B.S. Mordukhovich (1999). Separable reduction and supporting properties of Fréchet-like normals in Banach spaces. Canad. J. Math., 51, 26-48.
-
(1999)
Canad. J. Math.
, vol.51
, pp. 26-48
-
-
Fabian, M.1
Mordukhovich, B.S.2
-
9
-
-
84967717450
-
Approximate subdifferentials and applications, 1: The finite dimensional theory
-
A.D. Ioffe (1984). Approximate subdifferentials and applications, 1: the finite dimensional theory. Trans. Amer. Math. Soc., 281, 389-416.
-
(1984)
Trans. Amer. Math. Soc.
, vol.281
, pp. 389-416
-
-
Ioffe, A.D.1
-
10
-
-
84960582452
-
Proximal analysis and approximate subdifferentials
-
A.D. Ioffe (1990). Proximal analysis and approximate subdifferentials. J. London Math. Soc., 41, 175-192.
-
(1990)
J. London Math. Soc.
, vol.41
, pp. 175-192
-
-
Ioffe, A.D.1
-
11
-
-
0010808263
-
Generalized differentials of nonsmooth functions and necessary conditions for an extremum
-
A.Y. Kruger (1985). Generalized differentials of nonsmooth functions and necessary conditions for an extremum. Siberian Math. J. 26, 370-379.
-
(1985)
Siberian Math. J.
, vol.26
, pp. 370-379
-
-
Kruger, A.Y.1
-
12
-
-
0001472337
-
Properties of generalized differentials
-
A.Y. Kruger (1985). Properties of generalized differentials. Siberian Math. J., 26, 822-832.
-
(1985)
Siberian Math. J.
, vol.26
, pp. 822-832
-
-
Kruger, A.Y.1
-
13
-
-
0010877032
-
Covering theorem for set-valued mappings
-
A.Y. Kruger (1988). Covering theorem for set-valued mappings. Optimization, 19, 763-780.
-
(1988)
Optimization
, vol.19
, pp. 763-780
-
-
Kruger, A.Y.1
-
14
-
-
0010814679
-
On calculus of strict ε-semidifferentials
-
in Russian
-
A.Y. Kruger (1996). On calculus of strict ε-semidifferentials. Dokl. Akad. Nauk Belarus, 40(4), 34-39 (in Russian).
-
(1996)
Dokl. Akad. Nauk Belarus
, vol.40
, Issue.4
, pp. 34-39
-
-
Kruger, A.Y.1
-
15
-
-
84864282115
-
Strict ε-semidifferentials and extremality conditions
-
in Russian
-
A.Y. Kruger (1997). Strict ε-semidifferentials and extremality conditions. Dokl. Akad. Nauk Belarus, 41(3), 21-26 (in Russian).
-
(1997)
Dokl. Akad. Nauk Belarus
, vol.41
, Issue.3
, pp. 21-26
-
-
Kruger, A.Y.1
-
16
-
-
0010808808
-
On extremality of set systems
-
in Russian
-
A.Y. Kruger (1998). On extremality of set systems. Dokl. Nat. Akad. Nauk Belarus, 42(1), 24-28 (in Russian).
-
(1998)
Dokl. Nat. Akad. Nauk Belarus
, vol.42
, Issue.1
, pp. 24-28
-
-
Kruger, A.Y.1
-
17
-
-
0010888326
-
On necessary and sufficient extremality conditions
-
Minsk
-
A.Y. Kruger (1998). On necessary and sufficient extremality conditions. In: Dynamical Systems, Stability, Control, Optimization, Abstracts, Vol. 2, 165-168. Minsk.
-
(1998)
Dynamical Systems, Stability, Control, Optimization, Abstracts
, vol.2
, pp. 165-168
-
-
Kruger, A.Y.1
-
18
-
-
84864282115
-
Strict (ε, δ)-semidifferentials and extremality of sets and functions
-
in Russian
-
A.Y. Kruger (2000). Strict (ε, δ)-semidifferentials and extremality of sets and functions. Dokl. Nat. Akad. Nauk Belarus, 44(2), 21-24 (in Russian).
-
(2000)
Dokl. Nat. Akad. Nauk Belarus
, vol.44
, Issue.2
, pp. 21-24
-
-
Kruger, A.Y.1
-
19
-
-
2542529060
-
On Fréchet subdifferentials
-
to appear
-
A.Y. Kruger (2002). On Fréchet subdifferentials. J. Math. Sci. (to appear).
-
(2002)
J. Math. Sci.
-
-
Kruger, A.Y.1
-
20
-
-
0000259921
-
Extremal points and the Euler equation in nonsmooth optimization problems
-
in Russian
-
A.Y. Kruger and B.S. Mordukhovich (1980). Extremal points and the Euler equation in nonsmooth optimization problems. Dokl. Akad. Nauk BSSR, 24(8), 684-687 (in Russian).
-
(1980)
Dokl. Akad. Nauk BSSR
, vol.24
, Issue.8
, pp. 684-687
-
-
Kruger, A.Y.1
Mordukhovich, B.S.2
-
22
-
-
0000686326
-
The extremal principle and its applications to optimization and economics
-
A. Rubinov and B. Glover (Eds), Kluwer Academic Publishers
-
B.S. Mordukhovich (2001). The extremal principle and its applications to optimization and economics. In: A. Rubinov and B. Glover (Eds), Optimization and Related Topics., pp. 343-369. Kluwer Academic Publishers.
-
(2001)
Optimization and Related Topics
, pp. 343-369
-
-
Mordukhovich, B.S.1
-
23
-
-
0001004205
-
Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces
-
B.S. Mordukhovich and Y. Shao (1995). Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces. Nonlin. Anal., 25, 1401-1424.
-
(1995)
Nonlin. Anal.
, vol.25
, pp. 1401-1424
-
-
Mordukhovich, B.S.1
Shao, Y.2
-
24
-
-
0001657279
-
Extremal characterizations of Asplund spaces
-
B.S. Mordukhovich and Y. Shao (1996). Extremal characterizations of Asplund spaces. Proc. Amer. Math. Soc., 124, 197-205.
-
(1996)
Proc. Amer. Math. Soc.
, vol.124
, pp. 197-205
-
-
Mordukhovich, B.S.1
Shao, Y.2
-
25
-
-
27244452009
-
Nonsmooth sequential analysis in Asplund spaces
-
B.S. Mordukhovich and Y. Shao (1996). Nonsmooth sequential analysis in Asplund spaces. Trans. Amer. Math. Soc., 348, 1235-1280.
-
(1996)
Trans. Amer. Math. Soc.
, vol.348
, pp. 1235-1280
-
-
Mordukhovich, B.S.1
Shao, Y.2
-
26
-
-
0010939715
-
On variational characterizations of Asplund spaces
-
M. Thera (Ed.) Canad. Math. Soc. Conf. Proceed.
-
B.S. Mordukhovich and B. Wang (2000). On variational characterizations of Asplund spaces. In: M. Thera (Ed.), Constructive, Experimental and Nonlinear Analysis, Vol. 27, pp. 245-254. Canad. Math. Soc. Conf. Proceed.
-
(2000)
Constructive, Experimental and Nonlinear Analysis
, vol.27
, pp. 245-254
-
-
Mordukhovich, B.S.1
Wang, B.2
-
27
-
-
0003466110
-
Convex functions, monotone operators and differentiability, 2nd Edn
-
Springer, New York
-
R.R, Phelps (1993). Convex Functions, Monotone Operators and Differentiability, 2nd Edn, Lecture Notes in Mathematics, Vol. 1364. Springer, New York.
-
(1993)
Lecture Notes in Mathematics
, vol.1364
-
-
Phelps, R.1
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