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Contribution Details

Type Conference Presentation
Scope Discipline-based scholarship
Title Calmness of feasible and optimal solution maps in semi-infinite optimization
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 OR 2011, Zürich
Event Type conference
Event Location Zürich
Event Start Date August 30 - 2011
Event End Date September 2 - 2011
Abstract Text We consider a canonically perturbed system of (in general) infinitely many inequalities defined by continuously differentiable functions in finite or infinite dimension. Calmness of the solution set map of this system is characterized, on the one hand, by uniform linear convergence of a suitable iterative procedure for solving an associated bounded-norm system of linear inequalities and, on the other hand, by a certain constraint qualification. We also show how to apply this to the optimal set map in semi-infinite optimization.
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