【摘要】 通过引入集列的单位相对紧性和函数的强收敛性,研究赋范线性空间中一类真拟锥凸映射向量优化问题有效集序列的稳定性,并利用集合序列的Kuratowski-Painlevé收敛性,给出向量优化问题的有效集、弱有效集及Henig有效集序列的收敛性及稳定性条件.更多还原

【Abstract】 The stability of the sequence of efficient sets for a kind of proper quasiconvex cone mapping vector optimization problem in the norm linear space was studied by introducing the unit relative compactness of set sequence and the strongly convergence of function. The conditions of the convergence and stability of the sequence of the efficient set,weakly efficient set and Henig efficient set were given in the vector optimization problem by using Kuratowski-Painlevé convergence of the sequence of sets.更多还原