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. E. V. Oshman, “Continuity of metric projection in a Banach space,” Mat. Sb.,80, No. 2, 181–194 (1969).

    Google Scholar 

  2. E. V. Oshman, “Continuity of metric projection and geometrical properties of the unit sphere in a Banach space,” Candidate's Dissertation, Ural State Univ., Sverdlovsk (1970).

    Google Scholar 

  3. L. P. Vlasov, “Chebyshev sets and some of their generalizations,” Mat. Zametki,3, No. 1, 59–69 (1968).

    Google Scholar 

  4. L. P. Vlasov, “Approximative properties of sets in normed linear spaces,” Usp. Mat. Nauk,28, No. 6, 3–66 (1973).

    Google Scholar 

  5. E. V. Oshman, “Chebyshev sets and continuity of metric projection,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 9, 78–82 (1970).

    Google Scholar 

  6. E. V. Oshman and N. V. Nevesenko, “Continuity of the multivalued metric projection in normed linear spaces,” Dokl. Akad. Nauk SSSR,223, No. 5, 1064–1066 (1975).

    Google Scholar 

  7. M. M. Day, Normed Linear Spaces, 3rd ed., Springer-Verlag, Berlin—New York (1973).

    Google Scholar 

  8. N. V. Nevesenko, “ρ-Continuity of the metric projection onto closed convex sets,” Mat. Zametki,23, No. 6, 845–854 (1978).

    Google Scholar 

  9. N. V. Nevesenko, “Strict suns and lower semicontinuity of the metric projection in normed linear spaces,” Mat. Zametki,23, No. 4, 563–572 (1978).

    Google Scholar 

  10. I. Singer, “Some remarks on approximative compactness,” Rev. Roumaine Math. Pures Appl.,9, No. 2, 167–177 (1964).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 31, No. 1, pp. 117–126, January, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nevesenko, N.V., Oshman, E.V. Metric projection onto convex sets. Mathematical Notes of the Academy of Sciences of the USSR 31, 59–64 (1982). https://doi.org/10.1007/BF01146270

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01146270

Navigation