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Local Lipschitz property of the perturbation function in infinite-dimensional nonconvex extremal problems with operator constraints

  • Issues of Optimal Design and Control
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Literature Cited

  1. F. H. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York (1983).

    Google Scholar 

  2. V. S. Mikhalevich, A. M. Gupal, and V. I. Norkin, Nonconvex Optimization Methods [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  3. E. S. Levitin, A. A. Milyutin, and N. P. Osmolovskii, "High-order conditions of local minimum in a constrained problem," Usp. Mat. Nauk,33, No. 6, 85–148 (1978).

    Google Scholar 

  4. E. S. Levitin, "Theory of finite-dimensional parametric optimization," in: Optimization Models and Methods [in Russian], No. 19, 12–27, VNIISI, Moscow (1986).

    Google Scholar 

  5. E. S. Levitin, "Methods of perturbation theory of extremal problems in complex system analysis," in: Optimization Methods [in Russian], No. 12, 15–29, VNIISI, Moscow (1984).

    Google Scholar 

  6. E. S. Levitin, "Methods of perturbation theory of extremal problems in numerical optimization," in: Optimization Methods [in Russian], No. 12, VNIISI, Moscow (1984), pp. 29–36.

    Google Scholar 

  7. E. S. Levitin, "Local perturbation theory of the mathematical programming problem in a Banach space," Dokl. Akad. Nauk SSSR,224, No. 5, 1020–1023 (1975).

    Google Scholar 

  8. E. S. Levitin, "Perturbation theory of nonsmooth extremal problems with constraints," Dokl. Akad. Nauk SSSR,224, No. 6, 1260–1263 (1975).

    Google Scholar 

  9. E. S. Levitin, "Stability of optimal value and solution in constrained extremum problems," in: Numerical Methods in Optimal Economic Planning Problems [in Russian], No. 1, VNIISI, Moscow (1983), pp. 54–70.

    Google Scholar 

  10. E. S. Levitin, "Normality of constraints in infinite-dimensional nonconvex extremal problems," in: Optimality of Controlled Dynamic Systems [in Russian], No. 1, VNIISI, Moscow (1990), pp. 21–28.

    Google Scholar 

  11. E. S. Levitin, "Stability and approximation of infinite-valued extremal problems with operator constraints," in: Optimality of Controlled Dynamic Systems [in Russian], No. 1, VNIISI, Moscow (1990), pp. 8–20.

    Google Scholar 

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Authors
  1. E. S. Levitin
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Translated from Optimal'nost’ Upravlyaemykh Dinamicheskikh Sistem, Sbornik Trudov VNIISI, No. 14, pp. 52–58, 1990.

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Levitin, E.S. Local Lipschitz property of the perturbation function in infinite-dimensional nonconvex extremal problems with operator constraints. Comput Math Model 4, 387–392 (1993). https://doi.org/10.1007/BF01128762

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