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Second Order Conditions in Nonlinear Nonsmooth Problems of Semi-Infinite Programming

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Semi-Infinite Programming and Applications

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 215))

Abstract

The problem we shall consider is stated as follows: (SIP) minimize

$$ f(x) = \mathop{{\max }}\limits_{{s \in S}} \,f(s,x) $$

subject to

$$ F(x) = 0; $$

x takes values in Rn (the n-dimensional linear space with some fixed, say, Euclidean norm), S is a compact Hausdorff space, f(s,x) is a function on S x Rn and F: Rn→Rm.

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References

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Authors
  1. A. D. Ioffe
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Editor information

Editors and Affiliations

  1. Department of Operations Research School of Engineering and Applied Science, The George Washington University, Washington, DC, 20052, USA

    Anthony V. Fiacco

  2. Department of Mathematics, Carnegie-Mellon University, Pittsburgh, PA, 15213, USA

    Kenneth O. Kortanek

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© 1983 Springer-Verlag Berlin Heidelberg

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Ioffe, A.D. (1983). Second Order Conditions in Nonlinear Nonsmooth Problems of Semi-Infinite Programming. In: Fiacco, A.V., Kortanek, K.O. (eds) Semi-Infinite Programming and Applications. Lecture Notes in Economics and Mathematical Systems, vol 215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46477-5_18

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  • DOI: https://doi.org/10.1007/978-3-642-46477-5_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12304-0

  • Online ISBN: 978-3-642-46477-5

  • eBook Packages: Springer Book Archive

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