Topological and Differential Properties of Multivalued Mappings

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

Abstract

In this chapter topological notions such as uniformly boundedness, upper and lower semicontinuity and continuity, Lipschitz and pseudo-Lipschitz continuity of mappings and their marginal functions are dealt with. The interrelations between them are established. In the second part of this chapter different concepts and properties of differentiability and approximation of multivalued maps are considered. A description of derivatives of mappings in terms of the distance function is given.

Keywords

Neighbourhood Versus Multivalued Mapping Tangent Cone Lipschitz Continuity Uniform Boundedness 
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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