Skip to main content
SpringerLink
Log in

Continuity of measurable convex multifunctions

  • Conference paper
  • First Online:
Multifunctions and Integrands

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1091))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.M. BORWEIN: Continuity and differentiability properties of convex operators, Proc. London Math. Soc., 44 (1982), 420–444.

    Article  MathSciNet  MATH  Google Scholar 

  2. J.M. BORWEIN: "Convex relations in analysis and optimization" in Generalized concavity in optimization and economics (ed. S. Shaible and W. Ziemba) Academic Press, New York (1981), 335–377.

    Google Scholar 

  3. C. CASTAING and M. VALADIER: Convex analysis and measurable multifunctions, Lecture Notes in Mathematics no 580, Springer-Verlag, Berlin 1977.

    MATH  Google Scholar 

  4. J.P.R. CHRISTENSEN: Topology and Borel structure, North-Holland, American, Elsevier, New York, 1974.

    MATH  Google Scholar 

  5. P. FISCHER and Z. SLODKOWSKI: Christensen zero sets and measurable convex functions, Proc. Amer. Math. Soc., 79 (1980), 449–453.

    Article  MathSciNet  MATH  Google Scholar 

  6. M. JOUAK and L. THIBAULT: Equicontinuity of families of convex and concave-convex operators, to appear.

    Google Scholar 

  7. M. JOUAK and L. THIBAULT: Directional derivatives and almost everywhere differentiability of biconvex and concave-convex operators, Math. Scand. to appear.

    Google Scholar 

  8. M. JOUAK and L. THIBAULT: Montonie généralisée et sous-différentiels de fonctions convexes vectorielles, Math. Operationforschung, to appear.

    Google Scholar 

  9. A.L. PERESSINI: Ordered topological vector spaces, Harper and Row, New York, 1971.

    MATH  Google Scholar 

  10. L. SCHARTZ: Sur le théorème du graphe fermé, C.R. Acad. Sci. Paris, sér.A, 263. (1966), 602–605.

    MATH  Google Scholar 

  11. W. SIERPINSKI: Sur les fonctions convexes mesurables, Fund. Math. 1 (1920), 125–129.

    MATH  Google Scholar 

  12. L. THIBAULT: Continuity of measurable convex and biconvex operators, Proc. Amer. Math. Soc. to appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences de Pau, 64000 Pau, France

    L. Thibault

Authors
  1. L. Thibault
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Gabriella Salinetti

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Thibault, L. (1984). Continuity of measurable convex multifunctions. In: Salinetti, G. (eds) Multifunctions and Integrands. Lecture Notes in Mathematics, vol 1091. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098814

Download citation

  • DOI: https://doi.org/10.1007/BFb0098814

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13882-2

  • Online ISBN: 978-3-540-39083-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation