自反Banach空间中的约束凸向量优化问题的弱有效解集的非空有界性的刻画

摘要

本文首先研究无限维自反Banach空间中的锥约束凸向量优化问题的弱有效解集的非空有界性的各种刻画.然后将获得的结果用于研究一类罚函数方法的收敛性.%In this paper, we first characterize the nonemptiness and boundedness of the weakly efficient solution set of a cone-constrained convex vector optimization problem in an infinite-dimensional reflexive Banach space. Then, we apply the characterizations to the convergence analysis of a class of penalty methods.