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