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math.OC2023★ 1 cited
On Error Bounds of Inequalities in Asplund Spaces
Zhou Wei, Michel Théra, Jen-Chih Yao
Error bounds are central objects in optimization theory and its applications. They were for a long time restricted only to the theory before becoming over the course of time a fiel…
math.OC2023★ 4 cited
Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces
Zhou Wei, Michel Théra, Jen-Chih Yao
In this paper, we mainly study subtransversality and two types of strong CHIP (given via Fréchet and limiting normal cones) for a collection of finitely many closed sets. We first…
math.OC2023
Primal Characterizations of Stability of Error Bounds for Semi-infinite Convex Constraint Systems in Banach Spaces
Zhou Wei, Michel Théra, Jen-Chih Yao
This article is devoted to the stability of error bounds (local and global) for semi-infinite convex constraint systems in Banach spaces. We provide primal characterizations of the…