Continuity and Differentiability

  • Akhtar A. Khan
  • Christiane Tammer
  • Constantin Zălinescu
Chapter
First Online:
Part of the Vector Optimization book series (VECTOROPT)

Abstract

In this chapter we present continuity notions for set-valued mappings and corresponding properties under convexity assumptions. Furthermore, we introduce Lipschitz properties for single-valued and set-valued maps. Concepts of generalized differentiability and corresponding calculus rules are recalled.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Akhtar A. Khan
    • 1
  • Christiane Tammer
    • 2
  • Constantin Zălinescu
    • 3
  1. 1.Rochester Institute of Technology School of Mathematical SciencesRochesterUSA
  2. 2.HalleGermany
  3. 3.Faculty of MathematicsUniversity “Al. I. Cuza” IasiIasiRomania

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