On alternative theorems and necessary conditions for efficiency
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Publication:3622007
DOI10.1080/02331930701761433zbMath1158.90400OpenAlexW1967640608MaRDI QIDQ3622007
Publication date: 23 April 2009
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331930701761433
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46)
Related Items (5)
Necessary conditions for efficiency in terms of the Michel–Penot subdifferentials ⋮ Higher-order parameter-free sufficient optimality conditions in discrete minmax fractional programming ⋮ Dini and Hadamard directional derivatives in multiobjective optimization: an overview of some results ⋮ Convexificators and necessary conditions for efficiency ⋮ On Tucker-type alternative theorems and necessary optimality conditions for nonsmooth multiobjective optimization
Cites Work
- Equivalence of a Ky Fan type minimax theorem and a Gordan type alternative theorem
- On constraint qualification in multiobjective optimization problems: Semidifferentiable case
- Theorems of the alternative and optimality conditions for convexlike and general convexlike programming
- Constrained qualifications in multiobjective optimization problems: Differentiable case
- Constraint qualifications in nonsmooth multiobjective optimization
- Convexlike alternative theorems and mathematical programming
- Optimality Conditions in Directionally Differentiable Pareto Problems with a Set Constraint via Tangent Cones
- Regularity Conditions and Optimality in Vector Optimization
- A General Gordan Alternative Theorem with Weakened Convexity and Its Application
- On constraint qualifications in directionally differentiable multiobjective optimization problems
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