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.
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© 1996 Springer-Verlag Berlin Heidelberg
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Jahn, J. (1996). Tangent Cones. In: Introduction to the Theory of Nonlinear Optimization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03271-8_4
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DOI: https://doi.org/10.1007/978-3-662-03271-8_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-03273-2
Online ISBN: 978-3-662-03271-8
eBook Packages: Springer Book Archive