Regularity and Stability in Nonlinear Semi-Infinite Optimization

  • Diethard Klatte
  • René Henrion
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 25)


The paper is concerned with semi-infinite C 1 programs parametrized in the objective function and in the constraint functions, where perturbations may also occur in the index set of the semi-infinite constraints. Our purpose is to give a self-contained presentation of the interrelations between metric regularity, extended Mangasarian-Fromovitz constraint qualification, local boundedness of multipliers and upper semi-continuity of stationary solutions. Moreover, we outline stability properties of perturbed local minimizers in the absence of second-order differentiability of the data.


Constraint Qualification Cone Constraint Order Optimality Condition Local Boundedness Strict Local Minimizer 
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 1998

Authors and Affiliations

  • Diethard Klatte
    • 1
  • René Henrion
    • 2
  1. 1.Institut für Operations ResearchUniversität ZürichZürichSwitzerland
  2. 2.Weierstraß-Institut für Angewandte Analysis und Stochastik, BerlinBerlinGermany

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