Metric regularity of the feasible set mapping in semi-infinite optimization

DOI10.1007/BF01261993zbMath0820.90108OpenAlexW1991726512MaRDI QIDQ1330927

Diethard Klatte, René Henrion

Publication date: 10 August 1994

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01261993

zbMATH Keywords

metric regularityepigraph form of constraintsextended Mangasarian- Fromovitz constraint qualification

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Semi-infinite programming (90C34)

Related Items

Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems ⋮ On regularity and stability in semi-infinite optimization ⋮ Stable local minimizers in semi-infinite optimization: Regularity and second-order conditions ⋮ Lower semicontinuity of the feasible set mapping of linear systems relative to their domains ⋮ Regularity modulus of arbitrarily perturbed linear inequality systems ⋮ Lipschitz behavior of convex semi-infinite optimization problems: a variational approach ⋮ On the continuity of the optimal value in parametric linear optimization: Stable discretization of the Lagrangian dual of nonlinear problems ⋮ Stability of systems of linear equations and inequalities: distance to ill-posedness and metric regularity ⋮ On the Lipschitz modulus of the argmin mapping in linear semi-infinite optimization ⋮ Stability Theorems for Estimating the Distance to a Set of Coincidence Points ⋮ An approximation of feasible sets in semi-infinite optimization.

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