Geometrical characterization of weakly efficient points

DOI10.1007/BF02192255zbMath0866.90106MaRDI QIDQ2565009

Emilio Carrizosa, Frank Plastria

Publication date: 7 January 1997

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

zbMATH Keywords

geometrical characterizationconstrained convex multiobjective optimizationset of weakly efficient points

Mathematics Subject Classification ID

Convex programming (90C25) Multi-objective and goal programming (90C29)

Related Items (7)

Quasiconvex constrained multicriteria continuous location problems: structure of nondominated solution sets ⋮ Generalized \(\varepsilon \)-quasi-solutions in multiobjective optimization problems: existence results and optimality conditions ⋮ Characterizations of efficiency in vector optimization with \(\mathcal C(T)\)-valued mappings ⋮ Characterizations of efficient and weakly efficient points in nonconvex vector optimization ⋮ On the structure of the weakly efficient set for quasiconvex vector minimization ⋮ Efficiency in constrained continuous location ⋮ A characterization of efficient points in constrained location problems with regional demand

Cites Work

• Unnamed Item
• A gap between multiobjective optimization and scalar optimization
• Theory of multiobjective optimization
• Optimality conditions in multiobjective differentiable programming
• Pshenichnyi's theorem for vector minimization
• Maximal vectors and multi-objective optimization
• On Efficient Solutions to Multiple Objective Mathematical Programs
• Convex Analysis

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