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集值向量优化的二阶最优性条件(英文) 被引量:1

The Second-Order Optimality Conditions in Set-valued Vector Optimization
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摘要 对集值映射引入了高阶 Clarke导数 ,给出了判别集值向量优化所有效性的二阶 Kuhn-Tucker条件 ,并且 ,借助于集值映射的强 (弱 )伪凸性给出了一个弱有效解的充分条件 . The concept of higher order Clarke′s derivatives is established for set\|valued mapping. The second\|order optimality Kuhn\|Tucker conditions of set\|valued vector optimization with weak efficiency is developed. Finally, with the help of strong (weak) pseudoconvex set\|valued mapping, a sufficient condition for weak efficiency is investigated.
出处 《应用泛函分析学报》 CSCD 2000年第2期97-104,共8页 Acta Analysis Functionalis Applicata
关键词 KUHN-TUCKER条件 集值向量优化 CLARKE导数 二阶最优性条件 Kuhn\|Tucker conditions set\|valued vector optimization clarke′s derivatives.
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