Second-order efficiency conditions and sensitivity of efficient points

DOI10.1023/A:1022619928631zbMath0915.90226OpenAlexW31381900MaRDI QIDQ1273908

Mounir El Maghri, S. Bolintineanu

Publication date: 30 March 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022619928631

zbMATH Keywords

Banach spacessensitivity analysismultiobjective programmingmulticriteria optimizationefficiency conditionsweak efficiencyproper efficiencyFréchet sensitivityperturbed efficient pointspost-Pareto analysisvector differential optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31)

Related Items (13)

Continuity of minimal points with applications to parametric multiple objective optimization ⋮ Reduced Jacobian method ⋮ Optimality conditions for \(C^{1,1}\) constrained multiobjective problems ⋮ New results on second-order optimality conditions in vector optimization problems ⋮ Pareto-Fenchel ε-Subdifferential Composition Rule and ε-Efficiency ⋮ From scalar to vector optimization. ⋮ Pareto-Fenchel \({\epsilon}\)-subdifferential sum rule and \({\epsilon}\)-efficiency ⋮ Second order optimality conditions for bilevel set optimization problems ⋮ Multiobjective programming under generalized type I invexity ⋮ On sufficient second order optimality conditions in multiobjective optimization ⋮ Second-order conditions in \(C^{1,1}\) constrained vector optimization ⋮ (\(\epsilon\)-)efficiency in difference vector optimization ⋮ FIRST AND SECOND ORDER SUFFICIENT CONDITIONS FOR STRICT MINIMALITY IN MULTIOBJECTIVE PROGRAMMING

Cites Work

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• Pénalisation dans l'optimisation sur l'ensemble faiblement efficient
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