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Contribution Details

Type Conference Presentation
Scope Discipline-based scholarship
Title Handling Set Constraints in Variational Problems like Usual Inequalities
Organization Unit
Authors
  • Diethard Klatte
  • Bernd Kummer
Presentation Type lecture
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Event Title SIAM Conference on Optimization
Event Type conference
Event Location Darmstadt, Germany
Event Start Date May 16 - 2011
Event End Date May 19 - 2011
Abstract Text In many optimization and variational problems, abstract set constraints of the type $h(x) \in C$, $C$ polyhedral, appear. Such set constraints are often handled separately in its algebraic form when deriving stability (and solvability) conditions, since standard constraint qualifications may fail to hold. We show how such problems can be rewritten in traditional inequality and equation form in such a way that results on stability of solutions and feasible points for the related classical models can be directly applied. The paper is co-authored by Bernd Kummer, Humboldt University Berlin.
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