Connectedness of cone-efficient solution set for cone-quasiconvex multiobjective programming in locally convex spaces (Q705084)
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scientific article; zbMATH DE number 2130960
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Connectedness of cone-efficient solution set for cone-quasiconvex multiobjective programming in locally convex spaces |
scientific article; zbMATH DE number 2130960 |
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Connectedness of cone-efficient solution set for cone-quasiconvex multiobjective programming in locally convex spaces (English)
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25 January 2005
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his paper deals with the connectedness of the cone-efficient solution set for vector optimization in locally convex Hausdorff topological vector spaces. The connectedness of the cone-efficient solution set is proved for multiobjective programming defined by a continuous cone-quasiconvex mapping on a compact convex set of alternatives. The generalized saddle theorem plays a key role in the proof.
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Multiobjective programming
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cone-efficient solution
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cone-quasiconvex mapping
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generalized saddle theorem
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connectedness
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