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THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING

THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING
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摘要 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. 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.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 2000年第3期327-332,共6页
关键词 SET-VALUED mapping cone-weak SUBGRADIENT cone-weak SUBDIFFERENTIAL coneweak direction DERIVATIVE Set-valued mapping, cone-weak subgradient, cone-weak subdifferential, coneweak direction derivative
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