Necessary conditions for optimality and local optimality in normed spaces

  • Diethard Pallaschke
  • Stefan Rolewicz
Part of the Mathematics and Its Applications book series (MAIA, volume 388)


Let (X, ‖ · ‖) be a normed space. Translating for this case notions of ε-inner approximation, ε-outer approximation, 0+-inner approximation, 0+-outer approximation, we obtain the following definitions.


Banach Space Normed Space Real Banach Space Tangent Cone Closed Convex Cone 
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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Diethard Pallaschke
    • 1
  • Stefan Rolewicz
    • 2
  1. 1.Institute for Statistics and Mathematical EconomicsUniversity of KarlsruheKarlsruheGermany
  2. 2.Institute of Mathematics of the Polish Academy of SciencesWarsawPoland

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