Skip to main content
SpringerLink
Log in

1-Type Lipschitz selections in generalized 2-normed spaces

  • Published:
Analysis in Theory and Applications

Abstract

We shall introduce 1-type Lipschitz multifunctions from ℝ into generalized 2-normed spaces, and give some results about their 1-type Lipschitz selections.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Gähler, S., Linear 2-normierte Räume, Math. Nachr, 28 (1956), 1–45.

    Article  Google Scholar 

  2. Guričan, J. and Kostyrko, P., On Lipshitz Selections of Lipshitz Multifunctions, Acta Mathematica Universitatis Comenianae, 66:67 (1985), 131–135.

    Google Scholar 

  3. Kupka, I., Continuous Selections for Lipshitz Multifunctions, Acta Mathematica Universitatis Comenianae, Vol. LXXIV,1(2005), 133–141.

    MathSciNet  Google Scholar 

  4. Kupka, I., Continuous Multifunctions from [−1,0] to rmark having no continuous selection, Publ. Math. Debrecen, 48:3–4(1996), 367–370.

    MathSciNet  Google Scholar 

  5. Lewandowska, Z., Linear Operators on Generalized 2-normed Spaces, Bull. Math. Soc. Sci. Math. Roumanie (N.S.), 42–90:4(1999), 353–368.

    MathSciNet  Google Scholar 

  6. Repovš, D. and Semenov, P., Selections of Convex Bodies and Splitting Problem for Selections, J.Math. Anal. Appl., 334 (2007), 646–655.

    Article  MATH  MathSciNet  Google Scholar 

  7. Wang, L., An Iteration Method for Nonexpansive Mappings in Hilbert Spaces, Fixed Point Theory and Applications, Vol. 2007, Article ID 28619, 8 pages, doi:10.1155/2007/28619.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Azarbaidjan University of Tarbiat Moallem Azarshahr, Tabriz, Iran

    Sh. Rezapour

  2. Faculty of Mathematics, Physics and Informatics of Comenius University, Mlynská dolina, 842 48, Bratislava, Slovakia

    I. Kupka

Authors
  1. Sh. Rezapour
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. Kupka
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sh. Rezapour.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rezapour, S., Kupka, I. 1-Type Lipschitz selections in generalized 2-normed spaces. Anal. Theory Appl. 24, 205–210 (2008). https://doi.org/10.1007/s10496-008-0205-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10496-008-0205-2

Key words

AMS (2000) subject classification

Search

Navigation