On proper and improper efficient solutions of optimal problems with multicriteria
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Publication:1157548
DOI10.1007/BF00934082zbMath0471.49003OpenAlexW2032672378MaRDI QIDQ1157548
Publication date: 1982
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00934082
constraint qualificationpolar coneimproper efficient solutionsobjective qualificationproper efficient solutions
Controllability (93B05) Existence theories for free problems in two or more independent variables (49J10) General convexity (52A99)
Related Items (10)
New second-order Karush-Kuhn-Tucker optimality conditions for vector optimization ⋮ Continuous-time multiobjective fractional programming ⋮ Proper efficiency conditions and duality models for constrained multiobjective optimal control probelms containing arbitrary norms ⋮ Hartley proper efficiency in multifunction optimization ⋮ Proper efficiency and duality for a class of multiobjective fractional variational problems containing arbitrary norms ⋮ Optimality conditions and duality for multiobjective measurable subset selection problems ⋮ Characterizations of the Benson proper efficiency for nonconvex vector optimization ⋮ On efficient sets in vector maximum problems - A brief survey ⋮ Optimality conditions for directionally differentiable multi-objective programming problems ⋮ Proper solutions of vector optimization problems
Cites Work
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- An improved definition of proper efficiency for vector maximization with respect to cones
- A method for constructing the polar cone of a polyhedral cone, with applications to linear multicriteria decision problems
- Necessary and sufficient conditions for local and global nondominated solutions in decision problems with multi-objectives
- Proper efficiency and the theory of vector maximization
- Proper Efficient Points for Maximizations with Respect to Cones
- Letter to the Editor—Improper Solutions of the Vector Maximum Problem
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