On cone characterizations of weak, proper and Pareto optimality in multiobjective optimization

DOI10.1007/s001860000109zbMath1031.90035OpenAlexW2077784018WikidataQ109394363 ScholiaQ109394363MaRDI QIDQ1396967

Marko M. Mäkelä, Kaisa M. Miettinen

Publication date: 15 July 2003

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001860000109

zbMATH Keywords

normal conecontingent coneweak efficiencyproper efficiencyMultiple criteria

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)

Related Items (10)

GENERALIZED CONTINGENT EPIDERIVATIVES IN SET-VALUED OPTIMIZATION: OPTIMALITY CONDITIONS ⋮ On cone characterizations of strong and Lexicographic optimality in convex multiobjective optimization ⋮ Optimality conditions for approximate solutions in multiobjective optimization problems ⋮ On the transformation of lexicographic nonlinear multiobjective programs to single objective programs ⋮ Proper Efficiency and Tradeoffs in Multiple Criteria and Stochastic Optimization ⋮ Quasi-proper efficiency: a quantitative enhanced efficiency ⋮ Non-Euler-Lagrangian Pareto-optimality conditions for dynamic multiple criterion decision problems ⋮ Proximal proper efficiency for minimisation with respect to normal cones ⋮ Interval-parameter optimization problems on graphs ⋮ Approximate proper efficiency for multiobjective optimization problems

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