The domination property for efficiency in locally convex spaces

DOI10.1006/jmaa.1997.5550zbMath0907.90239OpenAlexW2047516826MaRDI QIDQ1378707

J. Ning

Publication date: 9 February 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5550

zbMATH Keywords

locally convex spacedomination propertysequentially complete setsuper efficient points

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Programming in abstract spaces (90C48)

Related Items (15)

On super efficiency in set-valued optimization ⋮ On the density of positive proper efficient points in a normed space ⋮ A kind of equivalence of three nonlinear scalarization functions in vector optimization ⋮ Scalarization of Henig properly efficient points in locally convex spaces ⋮ Existence results for proper efficient solutions of vector equilibrium problems and applications ⋮ Connectedness of the solution sets and scalarization for vector equilibrium problems ⋮ Some geometrical aspects of efficient points in vector optimization ⋮ Connectedness of cone superefficient point sets in locally convex topological vector spaces ⋮ Chebyshev scalarization of solutions to the vector equilibrium problems ⋮ Optimality conditions for Henig and globally proper efficient solutions with ordering cone has empty interior ⋮ On super efficiency in set-valued optimisation in locally convex spaces ⋮ Existence and density results for proper efficiency in cone compact sets ⋮ A generalization of a theorem of Arrow, Barankin and Blackwell to a nonconvex case ⋮ Henig efficiency in vector optimization with nearly cone-subconvexlike set-valued functions ⋮ New notions of proper efficiency in set optimization with the set criterion

Cites Work

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• An existence result for maximizations with respect to cones
• Maximal points with respect to cone dominance in Banach spaces and their existence
• Theory of multiobjective optimization
• Existence theorems in vector optimization
• A survey of vector optimization in infinite-dimensional spaces. II
• The domination property in multicriteria optimization
• An improved definition of proper efficiency for vector maximization with respect to cones
• Proper efficiency with respect to cones
• On a domination property for vector maximization with respect to cones
• Pareto optimization in infinite dimensional spaces: The importance of nuclear cones
• Proper efficiency in locally convex topological vector spaces
• Proper efficiency and the theory of vector maximization
• Ordered linear spaces
• On a Theorem of Arrow, Barankin, and Blackwell
• Positive Proper Efficient Points and Related Cone Results in Vector Optimization Theory
• A Generalization of a Theorem of Arrow, Barankin, and Blackwell
• The geometry of Pareto efficiency over cones
• Proper Efficient Points for Maximizations with Respect to Cones
• On Cone-Efficiency, Cone-Convexity and Cone-Compactness
• Existence Theorems for Pareto Optimization; Multivalued and Banach Space Valued Functionals
• Super Efficiency in Vector Optimization
• Density Results for Proper Efficiencies
• Two Generalizations of a Theorem of Arrow, Barankin, and Blackwell
• On the Existence of Pareto Efficient Points

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