Between Pareto efficiency and Pareto ε-efficiency

DOI10.1080/02331938908843483zbMath0682.90088OpenAlexW2028337605MaRDI QIDQ4732316

No author found.

Publication date: 1989

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938908843483

zbMATH Keywords

efficient pointscone orderingssemi-Archimedian ordered vector spacesapproximate vector minimizationPareto \(\epsilon\)- efficiencyregular ordered locally convex spaces

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Programming in abstract spaces (90C48) Existence theories for problems in abstract spaces (49J27)

Related Items

Stability results for approximately efficient solutions, On the existence and stability of approximate solutions of perturbed vector equilibrium problems, On several concepts for \(\varepsilon\)-efficiency, Characterizing ϵ-properly efficient solutions, On the equilibria of generalized dynamical systems, A generic approach to approximate efficiency and applications to vector optimization with set-valued maps, Convex operators: some subdifferentiability results, Regular ordering and existence of minimum points in uniform spaces and topological groups, Pareto optimization in topological vector spaces, Full nuclear cones and a relation between strong optimization and Pareto efficiency, Choquet boundaries and efficiency, Scalarization for characterization of approximate strong/weak/proper efficiency in multi-objective optimization, ε-Conjugate maps andε-conjugate duality in vector optimization with set-valued maps, An extension to sets of supernormal cones and generalized subdifferential

Cites Work

• Unnamed Item
• Unnamed Item
• An existence result for maximizations with respect to cones
• \(\epsilon\)-solutions in vector minimization problems
• Existence theorems in vector optimization
• On existence of cone-maximal points in real topological linear spaces
• Proper efficiency and the theory of vector maximization
• Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives
• On Cone-Efficiency, Cone-Convexity and Cone-Compactness
• A nonconvex vector minimization problem
• On the Existence of Pareto Efficient Points
• In what spaces is every closed normal cone regular?