Skip to main content
Log in

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. N. V. Efimov and S. B. Stechkin, Some properties of Chebyshev sets, Dokl. AN SSSR,118, No. 1, 17–19 (1958).

    Google Scholar 

  2. N. V. Efimov and S. B. Stechkin, Support properties of sets in Banach spaces and Chebyshev sets, Dokl. AN SSSR,127, No. 2, 254–257 (1959).

    Google Scholar 

  3. N. V. Efimov and S. B. Stechkin, Approximate compactness and Chebyshev Dokl. AN SSSR,140, No. 3, 522–524 (1961).

    Google Scholar 

  4. N. V. Efimov and S. B. Stechkin, Chebyshev sets in Banach spaces, Abstracts of Brief Communications, I. C. M., Stockholm (1962), p. 71.

    Google Scholar 

  5. V. L. Klee, Convexity of Chebyshev sets, Math. Ann.,143, 292–304 (1961).

    Google Scholar 

  6. L. P. Vlasov, Approximately convex sets in Banach spaces, Dokl. AN SSSR,163, No. 1, 18–21 (1965).

    Google Scholar 

  7. L. P. Vlasov, Approximately convex sets in uniformly smooth spaces, Matem. Zametki,1, No. 4, 443–449 (1967).

    Google Scholar 

  8. R. R. Phelps, Support cones and their generalizations, in: Convexity. Proc. of Symp. in Pure Math, Washington (1963), Vol. 8, pp. 393–401.

    Google Scholar 

  9. S. Eilenberg and D. Montgomery, Fixed point theorems for multivalued transformations, Am. J. Math.,68, 214–222 (1946).

    Google Scholar 

  10. M. M. Day, Normed Linear Spaces [Russian translation], Moscow (1961).

  11. D. F. Cudia, Rotundity, in: Convexity. Proc. of Symp. in Pure Math, Washington (1963), Vol. 7, pp. 393–401.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 2, No. 2, pp. 191–200, August, 1967.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vlasov, L.P. Chebyshev sets and approximately convex sets. Mathematical Notes of the Academy of Sciences of the USSR 2, 600–605 (1967). https://doi.org/10.1007/BF01094253

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01094253

Navigation