一类锥约束凸向量优化问题弱有效解集非空紧性的刻画和应用  

Characterizing Nonemptiness and Compactness of the Weakly Efficient Solution Set for a Cone-Constrained Convex Vector Optimization Problem

作　　者：张亚琴[1] 

机构地区：[1]河北交通职业技术学院土木工程系,河北石家庄050091

出　　处：《应用数学》2010年第2期319-324,共6页Mathematica Applicata

摘　　要：本文研究当目标空间的控制结构为多面体锥时,锥约束凸向量优化问题的弱有效解集的非空紧性的刻画,然后将所获结果用于研究一类罚函数方法的收敛性.In this paper,I first characterize the nonemptiness and compactness of the weakly efficient solution set of a cone-constrained convex vector optimization problem when the objective space Rm is ordered by a nontrivial,polyhedral cone with nonempty interior instead of the nonnegative orthant Rm＋.Then,I apply the characterizations to the convergence analysis of a class of penalty methods.

关 键 词：向量优化 弱有效解 锥约束优化 罚函数方法 

分 类 号：O221.6[理学—运筹学与控制论]