IDEAS home Printed from https://ideas.repec.org/a/spr/jglopt/v57y2013i3p719-731.html
   My bibliography  Save this article

On the differentiability of the support function

Author

Listed:
  • C. Zălinescu

Abstract

The support function is strongly related to the cost function in economics. Because the differentiability of the cost function is an important property, being related to the celebrated Shephard’s lemma, our propose is to study the differentiability of the support function of a nonempty closed and convex subset of a finite dimensional normed space. So we provide characterizations of the differentiability of the support function on three subsets of its domain. Copyright Springer Science+Business Media, LLC. 2013

Suggested Citation

  • C. Zălinescu, 2013. "On the differentiability of the support function," Journal of Global Optimization, Springer, vol. 57(3), pages 719-731, November.
    • Handle: RePEc:spr:jglopt:v:57:y:2013:i:3:p:719-731
    DOI: 10.1007/s10898-012-9918-z
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10898-012-9918-z
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10898-012-9918-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Saijo, Tatsuyoshi, 1983. "Differentiability of the cost functions is equivalent to strict quasiconcavity of the production functions," Economics Letters, Elsevier, vol. 12(2), pages 135-139.
    2. Fare, Role & Primont, Daniel, 1986. "On differentiability of cost functions," Journal of Economic Theory, Elsevier, vol. 38(2), pages 233-237, April.
    3. Fuchs-Seliger, Susanne, 1995. "On Shephard's Lemma and the continuity of compensated demand functions," Economics Letters, Elsevier, vol. 48(1), pages 25-28, April.
    4. Fuchs-Selinger, Susanne, 1997. "A further remark on Shephard's Lemma," Economics Letters, Elsevier, vol. 56(3), pages 359-365, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fuchs-Selinger, Susanne, 1997. "A further remark on Shephard's Lemma," Economics Letters, Elsevier, vol. 56(3), pages 359-365, November.
    2. Hongjun, Guan & Liye, Dong & Aiwu, Zhao, 2023. "Energy structure dividend, factor allocation efficiency and regional productivity growth-- An empirical examination of energy restructuring in China," Energy Policy, Elsevier, vol. 172(C).
    3. Fuchs-Seliger, Susanne, 1995. "On Shephard's Lemma and the continuity of compensated demand functions," Economics Letters, Elsevier, vol. 48(1), pages 25-28, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jglopt:v:57:y:2013:i:3:p:719-731. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.