【摘要】 利用集合序列的P-K收敛的概念,在控制锥是正则锥但未必具有有界基的情况下,讨论了向量值优化和集值优化问题的有效点的稳定性,改进了[2]中相应的结论。另外,还给出了向量值优化和集值优化问题的弱有效点的稳定性,得到了线性算子下的稳定性结果。更多还原

【Abstract】 This paper investigates the stability of the sets of efficient points of vectorvalued and set-valued optimization problems when the control cone is regular but need not have a bounded base in the sense of Painleve-Kuratowski convergence of set sequence.Our results improve those obtained by X.X.Huang in[1].Besides this,this paper also investigates the stability of the sets of weak efficient points of vector-valued and set-valued optimization problems and obtains the stability result under the linear operators.更多还原