On the Density of Henig Efficient Points in Locally Convex Topological Vector Spaces
Source of Publication
Journal of Optimization Theory and Applications
© 2014, Springer Science+Business Media New York. This paper presents a generalization of the Arrow, Barankin and Blackwell theorem to locally convex Hausdorff topological vector spaces. Our main result relaxes the requirement that the objective set be compact; we show asymptotic compactness is sufficient, provided the asymptotic cone of the objective set can be separated from the ordering cone by a closed and convex cone. Additionally, we give a similar generalization using Henig efficient points when the objective set is not assumed to be convex. Our results generalize results of A. Göpfert, C. Tammer, and C. Zălinescu to locally convex spaces.
Springer New York LLC
Physical Sciences and Mathematics
Asymptotic cone, Asymptotically compact set, Density results, Henig efficient point, Regular efficient point
Newhall, Joseph and Goodrich, Robert K., "On the Density of Henig Efficient Points in Locally Convex Topological Vector Spaces" (2015). All Works. 2558.
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