Some properties of approximate solutions for vector optimization problem with set-valued functions
Some properties of approximate solutions for vector optimization problem with set-valued functions
复制标题
集值函数向量优化问题近似解的一些性质
DOI：
10.1007/s10898-009-9452-9
复制
发表时间：
2010-05-01
影响因子：
1.8
通讯作者：
Yang, Xinmin
中科院分区：
文献类型：
--
作者：
Qiu, Qiusheng;Yang, Xinmin
本文研究了集值函数向量优化问题的近似解。在不对目标函数作任何凸性假设的情况下，导出了标量特征。讨论了近似解与弱有效解之间的关系。特别地，在目标函数为拟凸集值函数的条件下，证明了近似解集的连通性。
In this paper, we study the approximate solutions for vector optimization problem with set-valued functions. The scalar characterization is derived without imposing any convexity assumption on the objective functions. The relationships between approximate solutions and weak efficient solutions are discussed. In particular, we prove the connectedness of the set of approximate solutions under the condition that the objective functions are quasiconvex set-valued functions.