-
1
-
-
0040782366
-
Mean-value theorem for convex functions
-
WEGGE, L. L., Mean-Value Theorem for Convex Functions, Journal of Mathematical Economics, Vol. 1, pp. 207-208, 1974.
-
(1974)
Journal of Mathematical Economics
, vol.1
, pp. 207-208
-
-
Wegge, L.L.1
-
3
-
-
0000458852
-
Valeur moyenne pour un gradient généralisé
-
Paris
-
LEBOURG, G., Valeur Moyenne pour un Gradient Généralisé, Comptes Rendus de l'Académie des Sciences, Paris, Vol. 281, pp. 795-797, 1975.
-
(1975)
Comptes Rendus de l'Académie des Sciences
, vol.281
, pp. 795-797
-
-
Lebourg, G.1
-
5
-
-
0009123194
-
On the mean-value theorem
-
PENOT, J. P., On the Mean-Value Theorem, Optimization, Vol. 19, pp. 147-156, 1988.
-
(1988)
Optimization
, vol.19
, pp. 147-156
-
-
Penot, J.P.1
-
6
-
-
0001161272
-
Appropriate mean-value theorem for upper subderivatives
-
ZAGRODNY, D., Appropriate Mean-Value Theorem for Upper Subderivatives, Nonlinear Analysis: Theory, Methods, and Applications, Vol. 12, pp. 1413-1428, 1988.
-
(1988)
Nonlinear Analysis: Theory, Methods, and Applications
, vol.12
, pp. 1413-1428
-
-
Zagrodny, D.1
-
7
-
-
84963196866
-
A note on the equivalence between the mean-value theorem for the dini derivative and the Clarke-Rockafellar derivative
-
ZAGRODNY, D., A Note on the Equivalence between the Mean-Value Theorem for the Dini Derivative and the Clarke-Rockafellar Derivative, Optimization, Vol. 21, pp. 179-183, 1990.
-
(1990)
Optimization
, vol.21
, pp. 179-183
-
-
Zagrodny, D.1
-
9
-
-
0001049291
-
Proximal analysis and approximate subdifferentials
-
IOFFE, A. D., Proximal Analysis and Approximate Subdifferentials, Journal of the London Mathematical Society, Vol. 41, pp. 261-268, 1990.
-
(1990)
Journal of the London Mathematical Society
, vol.41
, pp. 261-268
-
-
Ioffe, A.D.1
-
10
-
-
0011267369
-
A characterization of asplund spaces with the help of local ε-support of Ekeland and Lebourg
-
FABIAN, M., and ZIVKOV, N. V., A Characterization of Asplund Spaces with the Help of Local ε-Support of Ekeland and Lebourg, Comptes Rendus de l'Académie Bulgare des Sciences, Vol. 38, pp. 671-674, 1985.
-
(1985)
Comptes Rendus de l'Académie Bulgare des Sciences
, vol.38
, pp. 671-674
-
-
Fabian, M.1
Zivkov, N.V.2
-
11
-
-
84962984436
-
Subdifferentials, local ε-support, and asplund spaces
-
FABIAN, M., Subdifferentials, Local ε-Support, and Asplund Spaces, Journal of the London Mathematical Society, Vol. 34, pp. 568-576, 1986.
-
(1986)
Journal of the London Mathematical Society
, vol.34
, pp. 568-576
-
-
Fabian, M.1
-
12
-
-
0003293351
-
Smoothness and renormings in banach spaces
-
Longman, London, England
-
DEVILLE, R., GODEFROY, G., and ZIZLER, V., Smoothness and Renormings in Banach Spaces, Pitman Monographs in Mathematics, Longman, London, England, Vol. 64, 1993.
-
(1993)
Pitman Monographs in Mathematics
, vol.64
-
-
Deville, R.1
Godefroy, G.2
Zizler, V.3
-
13
-
-
0006503785
-
Nonsmooth analysis with nonconvex generalized differentials and adjoint mappings
-
MORDUKHOVICH, B. S., Nonsmooth Analysis with Nonconvex Generalized Differentials and Adjoint Mappings, Doklady Akademia Nauk Bielorussia SSR, Vol. 28, pp. 976-979, 1984.
-
(1984)
Doklady Akademia Nauk Bielorussia SSR
, vol.28
, pp. 976-979
-
-
Mordukhovich, B.S.1
-
14
-
-
0001472337
-
Properties of generalized differentials
-
KRUGER, A. YA., Properties of Generalized Differentials, Siberian Mathematical Journal, Vol. 26, pp. 822-832, 1985.
-
(1985)
Siberian Mathematical Journal
, vol.26
, pp. 822-832
-
-
Kruger, A.Ya.1
-
16
-
-
27244452009
-
Nonsmooth sequential analysis in asplund spaces
-
MORDUKHOVICH, B. S., and SHAO, Y., Nonsmooth Sequential Analysis in Asplund Spaces, Transactions of the American Mathematical Society, Vol. 348, pp. 1235-1280, 1996.
-
(1996)
Transactions of the American Mathematical Society
, vol.348
, pp. 1235-1280
-
-
Mordukhovich, B.S.1
Shao, Y.2
-
17
-
-
0001967182
-
Miscellaneous incidences of convergence theories in optimization, Part 2: Applications to nonsmooth analysis
-
Edited by D. Z. Du, L. Qi, and R. S. Womersley, World Scientific, Singapore
-
PENOT, J. P., Miscellaneous Incidences of Convergence Theories in Optimization, Part 2: Applications to Nonsmooth Analysis, Recent Advances in Nonsmooth Optimization, Edited by D. Z. Du, L. Qi, and R. S. Womersley, World Scientific, Singapore, pp. 289-321, 1995.
-
(1995)
Recent Advances in Nonsmooth Optimization
, pp. 289-321
-
-
Penot, J.P.1
-
18
-
-
0001468398
-
The differentiability of real functions on normed linear spaces using generalized subgradients
-
BORWEIN, J. M., FITZPATRICK, S. P., and GILES, J. R., The Differentiability of Real Functions on Normed Linear Spaces Using Generalized Subgradients, Journal of Mathematical Analysis and Applications, Vol. 128, pp. 512-534, 1987.
-
(1987)
Journal of Mathematical Analysis and Applications
, vol.128
, pp. 512-534
-
-
Borwein, J.M.1
Fitzpatrick, S.P.2
Giles, J.R.3
-
19
-
-
0001672299
-
Subdifferential monotonicity as a characterization of convex functions
-
CORREA, R., JOFRE, A., and THIBAULT, L., Subdifferential Monotonicity as a Characterization of Convex Functions, Numerical Functional Analysis and Optimization, Vol. 15, pp. 531-535, 1994.
-
(1994)
Numerical Functional Analysis and Optimization
, vol.15
, pp. 531-535
-
-
Correa, R.1
Jofre, A.2
Thibault, L.3
-
20
-
-
0039004008
-
Mean-value theorems and sufficient optimality conditions for nonsmooth functions
-
STUDNIARSKI, M., Mean-Value Theorems and Sufficient Optimality Conditions for Nonsmooth Functions, Journal of Mathematical Analysis and Applications, Vol. 111, pp. 313-326, 1985.
-
(1985)
Journal of Mathematical Analysis and Applications
, vol.111
, pp. 313-326
-
-
Studniarski, M.1
-
21
-
-
0039596603
-
A mean-value theorem for semidifferentiable functions
-
YEN, N. D., A Mean-Value Theorem for Semidifferentiable Functions, Vietnam Journal of Mathematics, Vol. 23, pp. 221-228, 1993.
-
(1993)
Vietnam Journal of Mathematics
, vol.23
, pp. 221-228
-
-
Yen, N.D.1
-
22
-
-
0011339244
-
Generalized convexity in the light of nonsmooth analysis
-
Recent Developments in Optimization, Edited by R. Durier and C. Michelot, Springer Verlag, Berlin, Germany
-
PENOT, J. P., Generalized Convexity in the Light of Nonsmooth Analysis, Recent Developments in Optimization, Edited by R. Durier and C. Michelot, Lecture Notes in Economics and Mathematical Systems, Springer Verlag, Berlin, Germany, Vol. 429, pp. 269-290, 1995.
-
(1995)
Lecture Notes in Economics and Mathematical Systems
, vol.429
, pp. 269-290
-
-
Penot, J.P.1
-
23
-
-
21844526260
-
Mean-value theorem and subdifferential criteria for lower semicontinuous functions
-
AUSSEL, D., CORVELLEC, J. P., and LASSONDE, M., Mean-Value Theorem and Subdifferential Criteria for Lower Semicontinuous Functions, Transactions of the American Mathematical Society, Vol. 347, pp. 4147-4161, 1995.
-
(1995)
Transactions of the American Mathematical Society
, vol.347
, pp. 4147-4161
-
-
Aussel, D.1
Corvellec, J.P.2
Lassonde, M.3
-
24
-
-
0040782370
-
New finite increment formulas
-
CLARKE, F. H., and LEDYAEV, YU, S., New Finite Increment Formulas, Russian Academy, Doklady, Mathematics, Vol. 48, pp. 75-79, 1994.
-
(1994)
Russian Academy, Doklady, Mathematics
, vol.48
, pp. 75-79
-
-
Clarke, F.H.1
Ledyaev, Y.U.S.2
-
25
-
-
0039004012
-
-
to appear
-
CLARKE, F. H., LEDYAEV, YU., S., STERN, R. J., and WOLENSKI, P. R., Introduction to Nonsmooth Analysis (to appear).
-
Introduction to Nonsmooth Analysis
-
-
Clarke, F.H.1
Ledyaev, Yu.S.2
Stern, R.J.3
Wolenski, P.R.4
-
26
-
-
0000585951
-
Subgradient criteria for monotonicity, the lipschitz condition, and monotonicity
-
CLARKE, F. H., STERN, R. J., and WOLENSKI, P. R., Subgradient Criteria for Monotonicity, the Lipschitz Condition, and Monotonicity, Canadian Journal of Mathematics, Vol. 45, pp. 1167-1183, 1993.
-
(1993)
Canadian Journal of Mathematics
, vol.45
, pp. 1167-1183
-
-
Clarke, F.H.1
Stern, R.J.2
Wolenski, P.R.3
-
27
-
-
0040187871
-
-
Preprint, University of British Columbia, Vancouver, British Columbia
-
LOEWEN, P., A Mean-Value Theorem for Fréchet Subgradients, Preprint, University of British Columbia, Vancouver, British Columbia, 1992.
-
(1992)
A Mean-Value Theorem for Fréchet Subgradients
-
-
Loewen, P.1
-
28
-
-
0010897937
-
A mean-value theorem for nondifferentiable mappings
-
DEVILLE, R., A Mean-Value Theorem for Nondifferentiable Mappings, Serdica Mathematical Journal, Vol. 21, pp. 59-66, 1995.
-
(1995)
Serdica Mathematical Journal
, vol.21
, pp. 59-66
-
-
Deville, R.1
-
29
-
-
0003030229
-
Integration of subdifferentials of lower semicontinuous functions on banach spaces
-
THIBAULT, L., and ZAGRODNY, D., Integration of Subdifferentials of Lower Semicontinuous Functions on Banach Spaces, Journal of Mathematical Analysis and Applications, Vol. 189, pp. 33-58, 1995.
-
(1995)
Journal of Mathematical Analysis and Applications
, vol.189
, pp. 33-58
-
-
Thibault, L.1
Zagrodny, D.2
-
30
-
-
0031531312
-
Generalized monotonicity of subdifferentials and generalized convexity
-
PENOT, J. P., and SACH, P. H., Generalized Monotonicity of Subdifferentials and Generalized Convexity, Journal of Optimization Theory and Applications, Vol. 94, pp. 251-262, 1997.
-
(1997)
Journal of Optimization Theory and Applications
, vol.94
, pp. 251-262
-
-
Penot, J.P.1
Sach, P.H.2
-
31
-
-
0003323056
-
Convex functions, monotone operators, and differentiability
-
Springer Verlag, Berlin, Germany
-
PHELPS, R., Convex Functions, Monotone Operators, and Differentiability, Lecture Notes in Mathematics, Springer Verlag, Berlin, Germany, Vol. 1364, 1989.
-
(1989)
Lecture Notes in Mathematics
, vol.1364
-
-
Phelps, R.1
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