Journal of Jilin University Science Edition
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ZHANG Aihong, XU Yihong, TU Xiangqiu
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The strict efficiency of setvalued optimization was considered in real normed linear space by a new secondorder asymptotic epiderivative. With the help of secondorder asymptotic tangent cone, a new secondorder asymptotic epiderivative was introduced. At the same time, an example was given to show that its existence condition is weaker than that of secondorder asymptotic tangent derivative. By applying the derivative and properties of a dilating cone, an optimality necessary condition of locally strictly efficient element for setvalued optimization was established.
Key words: secondorder asymptotic tangent cone, secondorder asymptotic epiderivative, locally strictly efficient element
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ZHANG Aihong, XU Yihong, TU Xiangqiu. SecondOrder Asymptotic Epiderivative and Application[J].Journal of Jilin University Science Edition, 2014, 52(05): 943-948.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2014/V52/I05/943
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