Solution behaviour for parameter-dependent quasi-variational inequalities
RAIRO - Operations Research - Recherche Opérationnelle, Tome 30 (1996) no. 4, pp. 399-415.
@article{RO_1996__30_4_399_0,
     author = {Outrata, J. V.},
     title = {Solution behaviour for parameter-dependent quasi-variational inequalities},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {399--415},
     publisher = {EDP-Sciences},
     volume = {30},
     number = {4},
     year = {1996},
     mrnumber = {1427449},
     zbl = {0868.90119},
     language = {en},
     url = {http://www.numdam.org/item/RO_1996__30_4_399_0/}
}
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Outrata, J. V. Solution behaviour for parameter-dependent quasi-variational inequalities. RAIRO - Operations Research - Recherche Opérationnelle, Tome 30 (1996) no. 4, pp. 399-415. http://www.numdam.org/item/RO_1996__30_4_399_0/

1. J.-P. Aubin and I. Ekeland, Applied Nonlinear Analysis, Wiley, New York, 1984. | MR | Zbl

2. C. Baiocchi and A. Capelo, Variational and Quasi-Variational Inequalities, Applications to Free Boundary Problems, Wiley, New York, 1984. | MR | Zbl

3. D. Chan and J. S. Pang, The generalized quasi-variational problem, Math. Oper. Res., 1982, 7, pp. 211-222. | MR | Zbl

4. F. H. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York, 1983. | MR | Zbl

5. P. T. Harker and J. S. Pang, Finite-dimensional variational inequality and nonlinear complementary problems: A survey of theory, algorithms and applications, Math. Programming, 1990, 48, pp. 161-220. | MR | Zbl

6. P. T. Harker, Generalized Nash games and quasi-variational inequalities, European J. Oper. Res., 1991, 54, pp. 81-94. | Zbl

7. J. Haslinger and P. D. Panagiotopoulos, The reciprocal variational approach to the Signorini problem with friction. Approximation results, Proc. Royal Society of Edinburg, 1984, 98A, pp.365-383. | MR | Zbl

8. M. Kočvara and J. V. Outrata, On optimization of Systems governed by implicit complementarity problems. Numer. Funct. Analysis and Optimization, 1994, 15, pp. 869-887. | MR | Zbl

9. B. Kummer, The inverse of a Lipschitz function in Rn: Complete characterization by directional derivatives, IIASA-Working paper WP-89-084.

10. B. Kummer, Newton's method based on generalized derivatives for nonsmooth functions: Convergence analysis, in Proc. 6th French-German Colloquium on Optimization, Lambrecht, FRG, 1991, Lecture Notes in Economics and Mathematical Systems, vol.382, Springer, Berlin, 1992, pp.171-194. | MR | Zbl

11. J. Kyparisis, Solution differentiability for variational inequalities, Math. Programming, 1990, 48, pp. 285-301. | MR | Zbl

12. J. Kyparisis, Ch. M. Ip, Solution behaviour for parametric implicit complementarity problems, Math. Programming, 1992, 56, pp. 65-70. | MR | Zbl

13. U. Mosco, Implicit variational problems and quasi-variational inequalities, in Proc. Summer School "Nonlinear operators and the Calculas of Variations", Bruxelles, Belgium, 1975, Lecture Notes in Mathematics, Vol. 543, Springer, Berlin, 1976, pp. 83-156. | MR | Zbl

14. J. V. Outrata, On optimization problems with variational inequality constraints, SIAM J. Optim., 1994, 4, pp. 340-357. | MR | Zbl

15. J. V. Outrata and J. Zowe, A numerical approach to optimization problems with variational inequality constraints, Math. Programming, 1995, 68, pp. 105-130. | MR | Zbl

16. J. V. Outrata and J. Zowe, A Newton method for a class of quasi-variational inequalities, Comp. Optimization and Applications, 1995, 4, pp. 5-21. | MR | Zbl

17. J. S. Pang, The implicit complementarity problem, in Proc. Symp. on Nonlinear Programming, Madison, Wisc., 1980, Academic Press, New York, 1981, pp. 487-518. | MR | Zbl

18. J. S. Pang, On the convergence of a basic iterative method for the implicit complementarity problems, J. of Optimiz. Theory and Applications, 1982, 37, pp. 149-162. | MR | Zbl

19. S. M. Robinson, Strongly regular generalized equations, Math. Oper. Res., 1980, 5, pp. 43-62. | MR | Zbl

20. S. M. Robinson, An implicit-function theorem for a class of nonsmooth functions, Math. Oper. Res., 1991, 16, pp. 282-309. | MR | Zbl

21. S. Scholtes, Introduction to piecewise differentiable equations, Preprint No. 53/ 1994, Inst. Für Statistik und Math. Wirtschaftstheorie, Universität Karlsruhe. | MR