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Connectedness of Cone-Efficient Solution Set for Cone-Quasiconvex Multiobjective Programming in Locally Convex Spaces |
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| Authors: | |
| Institution: | (1) School of Mathematics and Information Science, Wenzhou University, Wenzhou, 325027, China;(2) Department of Mathematics, Shanghai University, Shanghai, 200436, China;(3) Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200030, China |
| Abstract: | This paper deals with the connectedness of the cone-efficient solution set for vector optimization inlocally convex Hausdorff topological vector spaces.The connectedness of the cone-efficient solution set is provedfor multiobjective programming defined by a continuous cone-quasiconvex mapping on a compact convex set ofalternatives.The generalized saddle theorem plays a key role in the proof. |
| Keywords: | Multiobjective programming cone-efficient solution cone-quasiconvex mapping generalized saddle theorem connectedness |
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