摘要
讨论了Minty向量似变分不等式的解与向量优化问题的解之间的关系问题.在伪不变凸或不变伪单调的条件下,证明了Minty(弱)向量似变分不等式的解和向量优化问题的(弱)有效解是相同的.
Some relations between solutions of Minty vector variational-like inequality and solutions of vector optimization problem are investigated. It is asserted that the solution of Minty （weak） vector variational-like inequality is similar to that of （weak） efficient solution of the vector optimization under pseudoinexity or invariant pseudomonotonicity.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第6期37-40,共4页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(69972036)
关键词
向量似变分不等式
向量优化问题
伪不变凸函数
不变伪单调映射
vector variational-like inequality
vector optimination problem
pseudoinvex function
pseudomonotone mapping
