摘要
研究了Rm中一类向量优化问题有效解映射和弱有效解映射的上半连续性,讨论了弱有效解映射是上半连续的一个等价条件,证明了向量优化问题弱有效解集合是本质的.
This paper studies the upper semi-continuity and lo semi-continuity of the efficient solutions and weakly efficient solution mapping in vector optimization probl Then we have discussed an equivalence condition that the mapping of weakly efficient solution is upper semi- tinuous. testifyirg that the set of weakly efficient solu- tions is essential in vector optimization problem.
出处
《西华师范大学学报(自然科学版)》
2010年第1期51-54,共4页
Journal of China West Normal University(Natural Sciences)
基金
四川省教育厅项目(08ZA159)
关键词
(弱)有效解
上(下)半连续
本质解
向量优化
(weakly) efficient solutions
lower (upper) semi-continuity
essential solutions
vector optimzation