Theorems of the alternative and optimization with set-valued maps
Theorems of the alternative and optimization with set-valued maps
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DOI：
10.1023/a:1026407517917
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发表时间：
2000-12-01
影响因子：
1.9
通讯作者：
Chen, GY
中科院分区：
文献类型：
--
作者：
Yang, XM;Yang, XQ;Chen, GY
本文给出了广义锥次凸集值映射的概念，并建立了广义不等-相等集值映射系统的一个可选定理。利用可选定理和其他结果，得到了广义锥次凸集值映射向量优化问题的充分最优性必要条件。
In this paper, the concept of generalized cone subconvexlike set-valued maps is presented and a theorem of alternative for the system of generalized inequality-equality set-valued maps is established. By applying the theorem of the alternative and other results, necessary and sufficient optimality conditions for vector optimization problems with generalized cone subconvexlike set-valued maps are obtained.