Necessary and sufficient condiitions for multiobjective optimization problems

DOI10.1080/02331939608844169zbMath0858.90112OpenAlexW2013780280MaRDI QIDQ4893702

Ahmed Taa

Publication date: 23 March 1997

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939608844169

zbMATH Keywords

contingent derivativemultiobjective optimizationPareto minimal pointset-valued derivativescompact baseS-derivativeset-valued map between two Banach spaces

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Programming in abstract spaces (90C48) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (12)

Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives ⋮ Necessary and sufficient conditions for set-valued maps with set optimization ⋮ Subdifferentials of multifunctions and Lagrange multipliers for multiobjective optimization. ⋮ \(\varepsilon\)-subdifferentials of set-valued maps and \(\varepsilon\)-weak Pareto optimality for multiobjective optimization ⋮ On Lagrance-Kuhn-Tucker Mulitipliers for Muliobjective Optimization Problems ⋮ Weak subdifferentials for set-valued mappings ⋮ On higher-order sensitivity analysis in nonsmooth vector optimization ⋮ Variational sets of multivalued mappings and a unified study of optimality conditions ⋮ Unnamed Item ⋮ Generalized radial epiderivatives and nonconvex set-valued optimization problems ⋮ Optimality conditions for vector mathematical programming via a theorem of the alternative ⋮ On optimality conditions for set-valued equilibrium problems

Cites Work

• Sensitivity analysis in multiobjective optimization
• Contingent derivative of the perturbation map in multiobjective optimization
• Contingent derivatives of set-valued maps and applications to vector optimization
• Differentiability of Relations and Differential Stability of Perturbed Optimization Problems

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