数学杂志2017，Vol.37Issue(2)：223-230,8.
非凸集值优化问题严有效解的强对偶定理
STRONG DUALITY WITH STRICT EFFICIENCY IN VECTOR OPTIMIZATION INVOLVING NONCONVEX SET-VALUED MAPS
摘要
Abstract
This paper is diverted to the study of two strong dual problems of a primal nonconvex set-valued optimization in the sense of strict efficiency. By using the principles of Lagrange duality and Mond-Weir duality, for each dual problem, a strong duality theorem with strict efficiency is established. The conclusions can be formulated as follows: starting from a strictly efficient solution of the primal problem, it can be constructed a strictly efficient solution of the dual problem such that the corresponding objective values of both problems are equal. The results generalize the strong dual theorems in which the set-valued maps are assumed to be cone-convex.关键词
严有效性/强对偶/集值优化/生成锥内部凸-锥类凸性Key words
strict efficiency/strong duality/set-valued optimization/ic-cone-convexlikeness分类
数理科学引用本文复制引用
余国林,张燕,刘三阳..非凸集值优化问题严有效解的强对偶定理[J].数学杂志,2017,37(2):223-230,8.基金项目
Supported by Natural Science Foundation of China (11361001) （11361001）
Natual Science Foundation of Ningxia (NZ14101). （NZ14101）
