Continuity properties in semi-infinite parametric linear optimization

DOI10.1080/01630568108816099zbMath0479.90073OpenAlexW2160351992MaRDI QIDQ3938851

Klaus Schnatz, Rainer Colgen

Publication date: 1981

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568108816099

zbMATH Keywords

parametric programmingcontinuitystability analysisupper semi-continuityoptimal valuesemi-infinite linear optimizationsufficient continuity conditionscompactness presumtionoptimal solution-map

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31)

Related Items (10)

Optimal value function in semi-infinite programming ⋮ Lower semi-continuity of the Pareto solution map in quasiconvex semi-infinite vector optimization ⋮ Semi-infinite optimization under convex function perturbations: Lipschitz stability ⋮ Perturbed convex programming in reflexive Banach spaces ⋮ Necessary conditions for upper semicontinuity in parametric semi-infinite programming ⋮ Stability of semi-infinite vector optimization problems under functional perturbations ⋮ Pseudo-Lipschitz property of linear semi-infinite vector optimization problems ⋮ Sufficient conditions for pseudo-Lipschitz property in convex semi-infinite vector optimization problems ⋮ Stability in disjunctive optimization II:continuity of the feasible and optimal set ⋮ On parametric optimization in hilbert spaces

Cites Work

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