Scalarization of Henig Proper Efficient Points in a Normed Space

X. Y. Zheng
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X. Y. Zheng: Yunnan University

Journal of Optimization Theory and Applications, 2000, vol. 105, issue 1, No 12, 233-247

Abstract: 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.

Keywords: Henig proper efficient points; superefficient points; scalarization; vector optimization (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (3)

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DOI: 10.1023/A:1004626414839

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