Geodesic
Growth Conditions on a Function and the Error Bound Condition
Matematičeskie zametki, Tome 109 (2021) no. 4, pp. 625-630.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: weakly convex function, smooth manifold, error bound condition, proximal smoothness, smooth extremal problem. 
@article{MZM_2021_109_4_a13,
     author = {M. V. Balashov},
     title = {Growth {Conditions} on a {Function} and the {Error} {Bound} {Condition}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {625--630},
     publisher = {mathdoc},
     volume = {109},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_109_4_a13/}
}
TY  - JOUR
AU  - M. V. Balashov
TI  - Growth Conditions on a Function and the Error Bound Condition
JO  - Matematičeskie zametki
PY  - 2021
SP  - 625
EP  - 630
VL  - 109
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2021_109_4_a13/
LA  - ru
ID  - MZM_2021_109_4_a13
ER  - 
%0 Journal Article
%A M. V. Balashov
%T Growth Conditions on a Function and the Error Bound Condition
%J Matematičeskie zametki
%D 2021
%P 625-630
%V 109
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2021_109_4_a13/
%G ru
%F MZM_2021_109_4_a13
M. V. Balashov. Growth Conditions on a Function and the Error Bound Condition. Matematičeskie zametki, Tome 109 (2021) no. 4, pp. 625-630. http://geodesic.mathdoc.fr/item/MZM_2021_109_4_a13/

[1] H. Karimi, J. Nutini, M. Schmidt, Machine Learning and Knowledge Discovery in Databases, Lecture Notes in Comput. Sci., 9851, Springer, Cham, 2016, 795–811 | DOI

[2] M. V. Balashov, Matem. zametki, 108:5 (2020), 657–668 | DOI | Zbl

[3] M. V. Balashov, A. A. Tremba, “Error bound conditions and convergence ofoptimization methods on smooth and proximallysmooth manifolds”, Optimization, 2020 | DOI

[4] M. V. Balashov, B. T. Polyak, A. A. Tremba, Numer. Funct. Anal. Optim., 41:7 (2020), 822–849 | DOI | MR | Zbl

[5] J.-P. Vial, Math. Oper. Res., 8:2 (1983), 231–259 | DOI | MR | Zbl

[6] F. H. Clarke, R. J. Stern, P. R. Wolenski, J. Convex Anal., 2:1-2 (1995), 117–144 | MR | Zbl

[7] M. V. Balashov, Matem. sb., 211:4 (2020), 3–26 | DOI | Zbl

[8] M. V. Balashov, “The gradient projection algorithm for smooth sets and functions in nonconvex case”, Set-Valued Var. Anal., 2020 | DOI

[9] R. Schneider, A. Uschmajew, SIAM J. Optim., 25:1 (2015), 622–646 | DOI | MR | Zbl

[10] D. Drusvyatskiy, A. S. Lewis, Math. Oper Res., 43:3 (2018), 919–948 | DOI | MR | Zbl