向量优化问题解的连续性和本质性

Continuity and Essentiality of Vector Optimization

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.