节点文献
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
【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.
【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