Voir la notice de l'article provenant de la source Math-Net.Ru
Keywords: strong compact subdifferential, subsmoothness, subsmooth variational Lagrangian, subsmooth form of the inverse and implicit function theorems.
I. V. Orlov. The Method of Lagrange Multipliers for the Class of Subsmooth Mappings. Matematičeskie zametki, Tome 103 (2018) no. 2, pp. 316-320. http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a14/
@article{MZM_2018_103_2_a14,
author = {I. V. Orlov},
title = {The {Method} of {Lagrange} {Multipliers} for the {Class} of {Subsmooth} {Mappings}},
journal = {Matemati\v{c}eskie zametki},
pages = {316--320},
year = {2018},
volume = {103},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_2_a14/}
}
[1] J. Lafontaine, Integration of Functions with Values in a Banach Space, Springer, New York, 2015
[2] A. C. Chiang, Fundamental Methods of Mathematical Economics, Mc Graw Hill, New York, 1984
[3] A. V. Dmitruk, A. A. Milyutin, N. P. Osmolovskii, UMN, 35:6 (216) (1980), 11–46 | MR | Zbl
[4] E. M. Galeev, V. M. Tikhomirov, Optimizatsiya: teoriya, primery, zadachi, Editorial URSS, M., 2000
[5] B. H. Pourciau, Amer. Math. Monthly, 87:6 (1980), 433–452 | DOI | MR | Zbl
[6] D. P. Bertsecas, Nonlinear Programming, Athena Scientific, Belmont, MA, 1999 | MR | Zbl
[7] S. Boyd, L. Vanderberghe, Convex Optimization, Cambridge Univ. Press, Cambridge, 2004 | MR | Zbl
[8] E. Zeidler, Applied Functional Analysis. Main Principles and Their Applications, Springer, New York, 1995 | MR | Zbl
[9] B. S. Mordukhovich, Variational Analysis and Generalized Differentiation. I. Basic Theory, Springer-Verlag, Berlin, 2006 | MR
[10] A. L. Dontchev, R. T. Rockafellar, Implicit Functions and Solution Mappings. A View from Variational Analysis, Springer, Dordrecht, 2009 | MR | Zbl
[11] I. V. Orlov, F. S. Stonyakin, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 34, RUDN, M., 2009, 121–138 | MR
[12] I. V. Orlov, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 53, RUDN, M., 2014, 64–132
[13] I. V. Orlov, Matem. zametki, 99:4 (2016), 631–634 | DOI | MR | Zbl
[14] I. V. Orlov, S. I. Smirnova, Eurasian Math. J., 6:4 (2015), 44–58 | MR
[15] V. D. Stepanov, Matem. zametki, 98:6 (2015), 907–922 | DOI | MR | Zbl
[16] M. L. Goldman, Matem. zametki, 100:1 (2016), 30–46 | DOI | MR | Zbl