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集值函数向量优化的WOLFE对偶 被引量:1
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作者 孟志青 邹凯 刘洪 《湘潭大学自然科学学报》 CAS CSCD 1997年第1期17-19,共3页
本文在局部凸拓扑向量空间中建立了集值函数向量优化的Wolfe对偶问题,证明了相应的弱对偶定理,对偶定理和逆对偶定理.
关键词 集值函数 对偶问题 向量优化 Wolfe对偶
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THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING
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作者 MENG Zhiqing(Department of Computer Science, Xiangtan University, Hunan 411105 Department of Applied Mathematics Xidian University, Xi,an 710071, China)HU Yuda(Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China) 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 2000年第3期327-332,共6页
In this paper, we introduce the concepts of the conesweak subdifferential and the cone-weak direction derivative of convex set-valued mapping in a locally convex topological vector space. We study the relationship bet... In this paper, we introduce the concepts of the conesweak subdifferential and the cone-weak direction derivative of convex set-valued mapping in a locally convex topological vector space. We study the relationship between them and obtain some important results. 展开更多
关键词 SET-VALUED mapping cone-weak SUBGRADIENT cone-weak SUBDIFFERENTIAL coneweak direction DERIVATIVE
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