Title:
|
Evaluation of Clarke's generalized gradient in optimization of variational inequalities (English) |
Author:
|
Roubíček, Tomáš |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
25 |
Issue:
|
3 |
Year:
|
1989 |
Pages:
|
157-168 |
. |
Category:
|
math |
. |
MSC:
|
49J40 |
MSC:
|
49J52 |
MSC:
|
49K99 |
MSC:
|
49M05 |
MSC:
|
49M07 |
MSC:
|
58C20 |
MSC:
|
65K05 |
idZBL:
|
Zbl 0675.49009 |
idMR:
|
MR1010179 |
. |
Date available:
|
2009-09-24T18:11:22Z |
Last updated:
|
2012-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125089 |
. |
Reference:
|
[1] J.-P. Aubin, I. Ekeland: Applied Nonlinear Analysis.J. Wiley, New York 1984. Zbl 0641.47066, MR 0749753 |
Reference:
|
[2] F. H. Clarke: Optimization and Nonsmooth Analysis.J. Wiley, New York 1983. Zbl 0582.49001, MR 0709590 |
Reference:
|
[3] V. F. Demyanov: Quasidifferentiable functions: Necessary conditions and descent directions.Math. Programming Study 29 (1986), 20-43. Zbl 0595.49009, MR 0837884 |
Reference:
|
[4] R. Glowinski J. L. Lions, R. Trémolieres: Analyse Numérique des Inéquations Variationnelles.Dunod, Paris 1976. |
Reference:
|
[5] W. W. Hager: Lipschitz continuity for constrained processes.SIAM J. Control Optim. 17 (1979), 321-338. Zbl 0426.90083, MR 0528899 |
Reference:
|
[6] J. Haslinger, T. Roubíček: Optimal control of variational inequalities. Approximation theory and numerical realization.Appl. Math. Optim. 14 (1986), 187-201. MR 0867717 |
Reference:
|
[7] K. Jittorntrum: Solution point differentiability without strict complementarity in nonlinear programming.Math. Programming Study 21 (1984), 127-138. Zbl 0571.90080, MR 0751247 |
Reference:
|
[8] C. Lemaréchal J. J. Strodiot, A. Bihain: On a bundle algorithm for nonsmooth optimization.In: Nonlinear Programming 4 (O. L. Mangasarian et al., eds.). Academic Press, New York 1981. MR 0663383 |
Reference:
|
[9] K. Malanowski: Differentiability with respect to parameters of solutions to convex programming problems.Math. Programming 33 (1985), 352-361. Zbl 0582.49015, MR 0816110 |
Reference:
|
[10] B. T. Polak: Introduction to Optimization.Nauka, Moscow 1983. In Russian. MR 0719196 |
. |