Evaluation of Clarke's generalized gradient in optimization of variational inequalities

Tomáš Roubíček

Kybernetika (1989)

  • Volume: 25, Issue: 3, page 157-168
  • ISSN: 0023-5954

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Roubíček, Tomáš. "Evaluation of Clarke's generalized gradient in optimization of variational inequalities." Kybernetika 25.3 (1989): 157-168. <http://eudml.org/doc/28244>.

@article{Roubíček1989,
author = {Roubíček, Tomáš},
journal = {Kybernetika},
keywords = {variational inequalities; subgradient algorithm; transversality theory},
language = {eng},
number = {3},
pages = {157-168},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Evaluation of Clarke's generalized gradient in optimization of variational inequalities},
url = {http://eudml.org/doc/28244},
volume = {25},
year = {1989},
}

TY - JOUR
AU - Roubíček, Tomáš
TI - Evaluation of Clarke's generalized gradient in optimization of variational inequalities
JO - Kybernetika
PY - 1989
PB - Institute of Information Theory and Automation AS CR
VL - 25
IS - 3
SP - 157
EP - 168
LA - eng
KW - variational inequalities; subgradient algorithm; transversality theory
UR - http://eudml.org/doc/28244
ER -

References

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  1. J.-P. Aubin, I. Ekeland, Applied Nonlinear Analysis, J. Wiley, New York 1984. (1984) Zbl0641.47066MR0749753
  2. F. H. Clarke, Optimization and Nonsmooth Analysis, J. Wiley, New York 1983. (1983) Zbl0582.49001MR0709590
  3. V. F. Demyanov, Quasidifferentiable functions: Necessary conditions and descent directions, Math. Programming Study 29 (1986), 20-43. (1986) Zbl0595.49009MR0837884
  4. R. Glowinski J. L. Lions, R. Trémolieres, Analyse Numérique des Inéquations Variationnelles, Dunod, Paris 1976. (1976) 
  5. W. W. Hager, Lipschitz continuity for constrained processes, SIAM J. Control Optim. 17 (1979), 321-338. (1979) Zbl0426.90083MR0528899
  6. J. Haslinger, T. Roubíček, Optimal control of variational inequalities. Approximation theory and numerical realization, Appl. Math. Optim. 14 (1986), 187-201. (1986) MR0867717
  7. K. Jittorntrum, Solution point differentiability without strict complementarity in nonlinear programming, Math. Programming Study 21 (1984), 127-138. (1984) Zbl0571.90080MR0751247
  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. (1981) MR0663383
  9. K. Malanowski, Differentiability with respect to parameters of solutions to convex programming problems, Math. Programming 33 (1985), 352-361. (1985) Zbl0582.49015MR0816110
  10. B. T. Polak, Introduction to Optimization, Nauka, Moscow 1983. In Russian. (1983) MR0719196

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