Geoffrion type characterization of higher-order properly efficient points in vector optimization

DOI10.1016/j.jmaa.2006.06.001zbMath1133.90392OpenAlexW1980549717MaRDI QIDQ864597

Angelo Guerraggio, Matteo Rocca, Ivan Ginchev

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.001

zbMATH Keywords

vector optimizationproperly efficient pointscharacterization of properly efficient pointsproperly efficient points of order \(k\)

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Markov and semi-Markov decision processes (90C40)

Related Items (5)

First-order necessary conditions in locally Lipschitz multiobjective optimization ⋮ Higher-order efficiency conditions for continuously directional differentiable vector equilibrium problem with constraints ⋮ A revised Pascoletti-Serafini scalarization method for multiobjective optimization problems ⋮ On a practical notion of Geoffrion proper optimality in multicriteria optimization ⋮ Stability of properly efficient points and isolated minimizers of constrained vector optimization problems

Cites Work

• From scalar to vector optimization.
• Theory of multiobjective optimization
• An improved definition of proper efficiency for vector maximization with respect to cones
• Proper efficiency with respect to cones
• On the notion of proper efficiency in vector optimization
• Proper efficiency and the theory of vector maximization
• Ordered linear spaces
• Isolated minimizers and proper efficiency for \(C^{0,1}\) constrained vector optimization problems
• Stability in Mathematical Programming with Nondifferentiable Data
• Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
• The geometry of Pareto efficiency over cones
• Proper Efficient Points for Maximizations with Respect to Cones
• Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
• Super Efficiency in Vector Optimization
• Approximation of set-valued functions by single-valued one
• Degrees of Efficiency and Degrees of Minimality
• Higher order optimality conditions in nonsmooth vector optimization
• Strict efficiency in vector optimization
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