Kuratowksi convergence of the efficient sets in the parametric linear vector semi-infinite optimization

DOI10.1016/0377-2217(95)00115-8zbMath0954.90054OpenAlexW1993119353MaRDI QIDQ1278348

Maxim Ivanov Todorov

Publication date: 9 February 2001

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(95)00115-8

zbMATH Keywords

well-posednessKuratowski convergencelower and upper semi-continuitylinear vector semi-infinite optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05) Semi-infinite programming (90C34)

Related Items

Constraint qualifications in convex vector semi-infinite optimization ⋮ Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems ⋮ Stability in unified semi-infinite vector optimization ⋮ Density of stable convex semi-infinite vector optimization problems ⋮ On the stability of the Motzkin representation of closed convex sets ⋮ Lower semi-continuity of the Pareto solution map in quasiconvex semi-infinite vector optimization ⋮ On the stability of solutions for semi-infinite vector optimization problems ⋮ Levitin-Polyak well-posedness for constrained quasiconvex vector optimization problems ⋮ Pseudo-Lipschitz property of linear semi-infinite vector optimization problems ⋮ Sufficient conditions for pseudo-Lipschitz property in convex semi-infinite vector optimization problems ⋮ Lower semicontinuity of the efficient solution mapping in semi-infinite vector optimization

Cites Work

• Theory of multiobjective optimization
• Stability of nondominated solutions in multicriteria decision-making
• Some properties of the peak-set-mapping
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