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一个向量类变分不等式及其应用 被引量：1

A Vector Variational-Like Inequality and Its Application
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摘要 利用数值化方法,讨论一个具锥预不变凸映射的向量类变分不等式解的存在性,将所得的结果用于具锥预不变凸映射的向量优化问题,得到其解的存在定理。 By using the scalarization method ,an existence theorem of solution for a vector variational-like inequality with cone-preinvex mapping is established.As application,existence theorem of solution for a vector optimization problem with cone-preinvex mapping is derived.
作者 鲍培文
机构地区 武警特警学院数理教研室
出处 《南昌大学学报（理科版）》 CAS 北大核心 2010年第3期227-229,共3页 Journal of Nanchang University(Natural Science)
基金 国家自然科学基金资助项目(10771060 60872039)
关键词 向量类变分不等式 锥预不变凸 向量优化问题 vector variational-like inequality cone-preinvexity vector optimization problem
分类号 O221.6 [理学—运筹学与控制论]
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共引文献29

同被引文献10

  • 1CHEN G Y, HUANG X X, YANG X Q. Vector Opti mization, Set-Valued and Variational Analysis [M]. Berlin, Heidelberg,Springer-Verlag, 2005.
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  • 10傅俊义,王三华.向量拟均衡系统的有效解[J].南昌大学学报（理科版）,2010,34(2):108-110. 被引量：6

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南昌大学学报（理科版）
2010年 第3期

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