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.


Tangent Vector Positive Real Number Minimal Point Convex Cone Nonempty Subset 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Johannes Jahn
    • 1
  1. 1.Institut für Angewandte MathematikUniversität Erlangen-NürnbergErlangenGermany

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