连续锥拟凹向量函数最优化问题有效解集的连通性

CONNECTEDNESS OF THE EFFICIENT SETIN CONTINUOUS AND CONE QUASICONCAVE VECTOR OPTIMIZATION PROBLEMS

本文研究了有限维空间中连续锥似凹向量函数最优化问题中锥有效解集的连通性问题 ,证明了当象点集为锥凸集时 ,锥有效解集是连通的。

In this paper,we investigate the connectedness of the efficient solution set of vector optimization problems if the objective function is continuous,cone quasiconcave in finite dimensional space,and give the connectedness result of the cone efficient solution set while the image set is cone convex.