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A characterization of strict local minimizers of order one for static minmax problems in the parametric constraint case

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EN
Abstrakty
EN
We present a new version of first order necessary optimality conditions for a static minmax problem with inequality constraints in the parametric constraint case. These conditions, after some modification, turn out to characterize strict local minimizers of order one for the given problem.
Wydawca
Rocznik
Strony
139--148
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
Bibliografia
  • [1] Clarke, F.H., Optimization and Nonsmooth Analysis, Wiley-Interscience, New York, 1983.
  • [2] Cromme, L., Strong uniqueness: a far-reaching criterion for the convergence of iterative procedures, Numer. Math. 29 (1978), 179-193.
  • [3] Danskin, J.M., The theory of maxmin with applictions, SIAM J. Appl. Math., 14(4) (1966), 641-664.
  • [4] Danskin, J.M., The Theory of Maxmin and Its Appliction to Weapons Allocation Problems, Springer-Verlag, Berlin, 1967.
  • [5] Klatte, D., Stable local minimizers in semi-infinite optimization: regularity and second-order conditions, J. Comput. Appl. Math. 56 (1994), 137-157.
  • [6] Shimizu, K., Ishizuka, Y. and Bard, J.F., Nondifferentiable and Two-Level Mathematical Programming, Kluwer Academic Publishers, Boston, 1997.
  • [7] Still, G. and Streng, M., Optimality conditions in smooth nonlinear programming, J. Optim. Theory Appl. 90 (1996), 483-515.
  • [8] Studniarski, M., Sufficient conditions for the stability of local minimum points in nonsmooth optimization, Optimization 20 (1989), 27-35.
  • [9] Studniarski, M., Characterizations of strict local minima for some nonlinear programming problems, Nonlinear Anal. 30 (1997), 5363-5367 (Proc. 2nd World Congress of Nonlinear Analysts).
  • [10] Studniarski, M. and Taha, A., A characterization of strict local minimizers of order one for nonsmooth static minmax problems, (submitted for publication).
  • [11] Sutti, C., Monotone generalized differentiability in nonsmooth optimization, Riv. Mat. Sci. Econom. Social. 18 (1995), 83-89.
  • [12] Ward, D.E., Characterizations of strict local minima and necessary conditions for weak sharp minima, J. Optim. Theory Appl. 80 (1994), 551-571.
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Bibliografia
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bwmeta1.element.baztech-article-LOD6-0013-0008
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