Skip to main content
Log in

Differentiability of a functional of a programming problem in an infinite-dimensional space

  • Published:
Cybernetics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. A. Ya. Dubovitskii and A. A. Milyutin, “Problems for an extremum in the presence of constraints,” Zh. vychisl. mat. i mat. fiz., vol. 5, no. 3 (1965).

  2. I. V. Girsanov, “On the differentiability of solutions of programming problems,” Abstracts Reports to the All-Union Interuniversity Conference on Applications of Functional Analysis to Nonlinear Problems [in Russian], Baku (1965).

  3. B. N. Pshenichnyi, “Convex programming in a normalized spaces,” Kibernetika [Cybernetics], no. 5 (1965).

  4. G. M. Fikhtengol'ts, Course in Differential and Integral Calculus [in Russian], Vol. 1, Fizmatgiz, Moscow (1960).

    Google Scholar 

  5. N. Dunford and J. T. Schwartz, Linear Operators [Russian translation], IL, Moscow (1962).

    Google Scholar 

  6. K. J. Arrow, L. Hurwicz, and H. Uzawa, Studies in Linear and Nonlinear Programming [Russian translation], IL, Moscow (1962).

    Google Scholar 

  7. B. T. Polyak, “Theorems on existence and convergence of minimizing sequences in problems for an extremum under constraints,” Dokl. Akad. Nauk SSSR, vol. 166, no. 2 (1966).

  8. D. Rassel, “The Kuhn-Tucker conditions in Banach space,” Journal of Mathematical Analysis and Applications, vol. 15, no. 2 (1966).

  9. L. A. Lyusternik and V. I. Sobolev, Elements of Functional Analysis [in Russian], izd-vo Nauka, Moscow (1965).

    Google Scholar 

  10. L. V. Kantorovich and G. P. Akilov, Functional Analysis in Normed Spaces [in Russian], Fizmatgiz, Moscow (1965).

    Google Scholar 

  11. F. F. Bonsall, “On the representation of points of a convex set,” Journal of the London Mathematical Society, vol. 38, part 3 (1963).

Download references

Authors

Additional information

Central Economic and Mathematical Institute, Academy of Sciences of the USSR, Moscow. Translated from Kibernetika, Vol. 5, No. 3, pp. 81–88, May–June, 1969.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sotskov, A.I. Differentiability of a functional of a programming problem in an infinite-dimensional space. Cybern Syst Anal 5, 334–342 (1969). https://doi.org/10.1007/BF01070923

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01070923

Keywords

Navigation