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Tangent Cones

In: Introduction to the Theory of Nonlinear Optimization

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  • Johannes Jahn

    (Universität Erlangen-Nürnberg, Institut für Angewandte Mathematik)

Abstract

In this chapter certain approximations of sets are considered which are very useful for the formulation of optimality conditions. We investigate so-called tangent cones which approximate a given set in a local sense. First, we discuss several basic properties of tangent cones, and then we present optimality conditions with the aid of these cones. Finally, we formulate a Lyusternik theorem.

Suggested Citation

  • Johannes Jahn, 1996. "Tangent Cones," Springer Books, in: Introduction to the Theory of Nonlinear Optimization, edition 0, chapter 0, pages 81-107, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-03271-8_4
    DOI: 10.1007/978-3-662-03271-8_4
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