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Subdifferentials of Marginal Functions

  • Bernd Luderer
  • Leonid Minchenko
  • Tatyana Satsura
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 66)

Abstract

In this chapter we consider the marginal function φ(x) = inf {f(x, y) | y ∈ F(x)},where f: X ×Y→R:X→ 2 Y,X = Rn,Y = R m. As above we denote ω(x) = {y ∈ F(x) | f (x,y) = φ(x)}.

Keywords

Multivalued Mapping Lipschitz Continuity Lower Semicontinuous Function Marginal Function Weakly Pseudoconvex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Bernd Luderer
    • 1
  • Leonid Minchenko
    • 2
  • Tatyana Satsura
    • 2
  1. 1.Faculty of MathematicsChemnitz University of TechnologyChemnitzGermany
  2. 2.Byelorussian State University of Informatics & RadioelectronicsMinskByelorussia

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