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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
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Category: math
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MSC: 49J40
MSC: 49J52
MSC: 49K99
MSC: 49M05
MSC: 49M07
MSC: 58C20
MSC: 65K05
idZBL: Zbl 0675.49009
idMR: MR1010179
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Date available: 2009-09-24T18:11:22Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/125089
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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
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