THE WEAK BENSON PROPER EFFICIENT SUBGRADIENT AND THE OPTIMALITY CONDITIONS OF SET-VALUED OPTIMIZATION

被引:4
作者
SHENG Baohuai Institute of Mathematics Ningbo University Ningbo [315211 ]
Department of Applied Mathematics Xidian University Xian China [710071 ]
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中图分类号
O224 [最优化的数学理论];
学科分类号
070105 ; 1201 ;
摘要
The subgradient, under the weak Benson proper efficiency, of a set-valued mapping in ordered Banach space is developed, and the weak Benson proper efficient Hahn-Banach theorem of a set-valued mapping is established, with which the existence of the subgradient is proved and the characterizations of weak Benson proper efficient elements of constrained(unconstrained) vector set-valued optimization problems are presented.
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页码:69 / 76
页数:8
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