锥连续向量函数最小化问题真有效解集的特征及连通性

Characterization and Connectedness of the Proper Efficient Set in Cone-continuous Vector Minimization

讨论了锥连续函数的性质 ,对锥连续向量函数最小化问题真有效解集的特征进行了研究 ,在此基础上讨论了锥连续锥凸函数的真有效解集的连通性 .

Some properties of cone continuous vector valued functions are discussed. The characterization of the proper efficient solution set in cone continuous vector minimization problem is investigated. Under the condition, the connectedness of the proper efficient solution set in cone continuous and cone convex vector valued functions are also presented.