Exact separation theorem for closed sets in Asplund spaces
Xi Yin Zheng, Zhuowei Yang, Jiangqian Zou · Optimization · 2017
In this paper, in terms of the Fréchet normal cone, we establish exact separation results for finitely many disjoint closed sets in an Asplund space, which supplement the extremal principle and some fuzzy separation theorems. As an application, we provide a new optimality condition for a constraint optimization problem in terms of Fréchet subdifferential and Fréchet normal cone.