Quasidifferentiable Functions and Sets

Quasidifferentiable Optimization and Optimality Conditions
  • Vladimir F. Dem’yanov
  • Georgios E. Stavroulakis
  • Ludmila N. Polyakova
  • Panagiotis D. Panagiotopoulos
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 10)


In this Chapter quasidifferentiable and codifferentiable functions and sets are introduced and studied for the general finite dimensional case. The corresponding calculus rules are given and the links to other related nonsmooth analysis notions and optimality conditions are discussed.


Directional Derivative Gauge Function Steep Descent Direction Calculus Rule Exposed Point 
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Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • Vladimir F. Dem’yanov
    • 1
  • Georgios E. Stavroulakis
    • 2
  • Ludmila N. Polyakova
    • 1
  • Panagiotis D. Panagiotopoulos
    • 3
    • 4
  1. 1.Department of MathematicsSt. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Lehr- und Forschungsgebiet für Mechanik; Lehrstuhl C für MathematikRWTHAachenGermany
  3. 3.Department of Civil EngineeringAristotle UniversityThessalonikiGreece
  4. 4.Faculty of Mathematics and PhysicsRWTHAachenGermany

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