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On the differentiability of the support function

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Fuchs-Selinger, Susanne, 1997. "A further remark on Shephard's Lemma," Economics Letters, Elsevier, vol. 56(3), pages 359-365, November.
    4. Fare, Role & Primont, Daniel, 1986. "On differentiability of cost functions," Journal of Economic Theory, Elsevier, vol. 38(2), pages 233-237, April.
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