Second-order strong Karush/Kuhn-Tucker conditions for proper efficiencies in multiobjective optimization

DOI10.1007/s10957-019-01484-0zbMath1451.90142OpenAlexW2914783402WikidataQ128366076 ScholiaQ128366076MaRDI QIDQ2420814

Min Feng, Sheng Jie Li

Publication date: 7 June 2019

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

Full work available at URL: https://doi.org/10.1007/s10957-019-01484-0

zbMATH Keywords

multiobjective optimizationsecond-order optimality conditionsBorwein-properly efficient solutionsstrong Karush/Kuhn-Tucker conditionsGeoffrion-proper efficiencysecond-order regularity conditions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Optimality conditions (49K99)

Related Items (4)

Integral Global Optimality Conditions and an Algorithm for Multiobjective Problems ⋮ Second-order necessary and sufficient optimality conditions for constrained vector equilibrium problem with applications ⋮ On Tucker-type alternative theorems and necessary optimality conditions for nonsmooth multiobjective optimization ⋮ Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Proper efficiency and proper Karush-Kuhn-Tucker conditions for smooth multiobjective optimization problems
• Second-order optimality conditions for vector problems with continuously Fréchet differentiable data and second-order constraint qualifications
• On strong KKT optimality conditions for multiobjective semi-infinite programming problems with Lipschitzian data
• Constant-rank condition and second-order constraint qualification
• Second-order conditions for efficiency in nonsmooth multiobjective optimization problems
• Stronger Kuhn-Tucker type conditions in nonsmooth multiobjective optimization: Locally Lipschitz case
• Efficiency and proper efficiency in nonlinear vector maximum problems
• Theory of multiobjective optimization
• An improved definition of proper efficiency for vector maximization with respect to cones
• Constrained qualifications in multiobjective optimization problems: Differentiable case
• Error bounds in mathematical programming
• First and second order sufficient conditions for strict minimality in nonsmooth vector optimization.
• Optimality conditions in differentiable vector optimization via second-order tangent sets
• On weak and strong Kuhn-Tucker conditions for smooth multiobjective optimization
• Proper or weak efficiency via saddle point conditions in cone-constrained nonconvex vector optimization problems
• New second-order Karush-Kuhn-Tucker optimality conditions for vector optimization
• Proper efficiency and the theory of vector maximization
• Nonsmooth multiobjective programming and constraint qualifications
• Gordan-Type Alternative Theorems and Vector Optimization Revisited
• On relaxed constant rank regularity condition in mathematical programming
• Proper Efficient Points for Maximizations with Respect to Cones
• Second-Order Conditions for Optimization Problems with Constraints
• A note on second-order Karush–Kuhn–Tucker necessary optimality conditions for smooth vector optimization problems
• First-order necessary conditions in locally Lipschitz multiobjective optimization
• On second-order optimality conditions for continuously Fréchet differentiable vector optimization problems
• Multicriteria Optimization

This page was built for publication: Second-order strong Karush/Kuhn-Tucker conditions for proper efficiencies in multiobjective optimization