FIRST AND SECOND ORDER SUFFICIENT CONDITIONS FOR STRICT MINIMALITY IN MULTIOBJECTIVE PROGRAMMING
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Publication:3148352
DOI10.1081/NFA-120006695zbMath1025.90023MaRDI QIDQ3148352
Bienvenido Jiménez, Vicente Novo Sanjurjo
Publication date: 27 January 2003
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
multiobjective programmingsupport functionfirst and second order sufficient optimality conditionsstrict local Pareto minimum
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)
Related Items (13)
A Note on First-Order Sufficient Optimality Conditions for Pareto Problems ⋮ Optimality and duality theorems in nonsmooth multiobjective optimization ⋮ Optimality conditions for weak \({\psi}\) -sharp minima in vector optimization problems ⋮ First order optimality conditions in vector optimization involving stable functions ⋮ First and second order sufficient conditions for strict minimality in nonsmooth vector optimization. ⋮ Higher-Order Efficiency Conditions Via Higher-Order Tangent Cones ⋮ Optimality and duality for nonsmooth multiobjective optimization problems ⋮ Optimality and mixed saddle point criteria in multiobjective optimization ⋮ A property of efficient and \(\varepsilon\)-efficient solutions in vector optimization ⋮ On second-order optimality conditions for vector optimization: Addendum ⋮ Parameter-free duality models and applications to semi-infinite minmax fractional programming based on second-order (\(\phi,\eta ,\rho ,\theta,\tilde{m}\))-sonvexities ⋮ Sufficient optimality conditions and duality for nonsmooth multiobjective optimization problems via higher order strong convexity ⋮ Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity
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- Strict efficiency in vector optimization
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