Scalarization of Henig Proper Efficient Points in a Normed Space |
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Authors: | Zheng X Y |
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Institution: | (1) Department of Mathematics, Yunnan University, Kunming, PR China |
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Abstract: | In a general normed space equipped with the order induced by a closed convex cone with a base, using a family of continuous monotone Minkowski functionals and a family of continuous norms, we obtain scalar characterizations of Henig proper efficient points of a general set and a bounded set, respectively. Moreover, we give a scalar characterization of a superefficient point of a set in a normed space equipped with the order induced by a closed convex cone with a bounded base. |
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Keywords: | Henig proper efficient points superefficient points scalarization vector optimization |
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