On the Stable Sequential Kuhn-Tucker Theorem and Its Applications

Mikhail I. Sumin^{*}

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References

[1] V. M. Alekseev, V. M. Tikhomirov and S. V. Fomin, “Optimal Control,” Nauka, Moscow, 1979.

[2] F. P. Vasil’ev, “Optimization Methods,” Faktorial Press, Moscow, 2002.

[3] M. Minoux, “Mathematical Programming. Theory and Algorithms,” Wiley, New York, 1986.

[4] M. I. Sumin, “Duality-Based Regularization in a Linear Convex Mathematical Programming Problem,” Journal of Computational Mathematics and Mathematical Physics, Vol. 47, No. 4, 2007, pp. 579-600.
doi:10.1134/S0965542507040045

[5] M. I. Sumin, “Ill-Posed Problems and Solution Methods. Materials to Lectures for Students of Older Years. TextBook,” Lobachevskii State University of Nizhnii Novgorod, Nizhnii Novgorod, 2009.

[6] M. I. Sumin, “Parametric Dual Regularization in a Linear-Convex Mathematical Programming,” In: R. F. Linton and T. B. Carrol, Jr., Eds., Computational Optimization: New Research Developments, Nova Science Publishers Inc., New-York, 2010, pp. 265-311.

[7] M. I. Sumin, “Regularized Parametric Kuhn-Tucker Theorem in a Hilbert Space,” Journal of Computational Mathematics and Mathematical Physics, Vol. 51, No. 9, 2011, pp. 1489-1509.
doi:10.1134/S0965542511090156

[8] J. Warga, “Optimal Control of Differential and Functional Equations,” Academic Press, New York, 1972.

[9] A. N. Tikhonov and V. Ya Arsenin, “Methods of Solution of Ill-Posed Problems,” Halsted, New York, 1977.

[10] M. I. Sumin, “A Regularized Gradient Dual Method for Solving Inverse Problem of Final Observation for a Parabolic Equation,” Journal of Computational Mathematics and Mathematical Physics, Vol. 44, No. 12, 2004, pp. 1903-1921.

[11] O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Ural’tseva, “Linear and Quasilinear Equations of Parabolic Type,” Nauka, Moscow, 1967.

[12] V. I. Plotnikov, “Uniqueness and Existence Theorems and a Priori Properties of Generalized Solutions,” Doklady Akademii Nauk SSSR, Vol. 165, No. 1, 1965, pp. 33-35.