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向量集值映射的共轭对偶(英文)

Consideration of Conjugate Duality in Vector Optimization Problem with Set-Valued Map

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【作者】 盛宝怀刘三阳

【Author】 BAOHUAI SHENG, SANYANG LIU (Deportment of Applied Mathematics, Xidian Univereitg, Xi’an 710071, China)

【机构】 西安电子科技大学应用数学系!西安710071

【摘要】 借助抽象算子将共轭映射的概念推广到抽象空间.引入了集值映射的共轭映射和次梯度.据此讨论了集值映射共轭对偶的全局稳定性.

【Abstract】 The concept of the conjugate map of a set-valued map is extended to an abstract space with the help of the set of operators, with which the concept of biconjugate map and subgradient of a set-valued map is introduced, their properties are studied. Finally, under the assumption of convexity, the global stability of the conjugate duality map of a set-valued map is studied.

【关键词】 集值映射共轭映射共轭对偶
【Key words】 Set-valued mapConjugate mapConjugate dualit?
【基金】 National Natural Science Foundation of Shanxi Province.
  • 【文献出处】 运筹学学报 ,Or Transactions , 编辑部邮箱 ,2000年02期
  • 【分类号】O189
  • 【被引频次】1
  • 【下载频次】32
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