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• W2618410040 abstract "Piecewise linear vector optimization problems in the locally convex Hausdorff topological vector space setting are considered in this paper. The efficient solution set of these problems are shown to be the unions of finitely many semi-closed generalized polyhedral convex sets. If, in addition, the problem is convex, then the efficient solution set and the weakly efficient solution set are the unions of finitely many generalized polyhedral convex sets and they are connected by line segments. Our results develop the preceding ones of Zheng and Yang (Sci. China Ser. A. 51, 1243–1256 2008), and Yang and Yen (J. Optim. Theory Appl. 147, 113–124 2010), which were established in the normed space setting." @default.
• W2618410040 created "2017-06-05" @default.
• W2618410040 creator A5087459749 @default.
• W2618410040 date "2017-12-07" @default.
• W2618410040 modified "2023-10-03" @default.
• W2618410040 title "Piecewise Linear Vector Optimization Problems on Locally Convex Hausdorff Topological Vector Spaces" @default.
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• W2618410040 doi "https://doi.org/10.1007/s40306-017-0239-7" @default.
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