4 papers · 1 filter
Complexity of Error Bounds for Systems of Linear Inequalities
Zhou Wei, Michel Thera, Jen-Chih Yao
Error bounds have been studied for more than seventy years, beginning with the seminal result of Hoffman (1952) [{\it J. Res. Natl. Bur. Standards}, 49 (1952), 263--265], which est…
Metric Subregularity of Multifunctions and Applications to Characterizations of Asplund Spaces
Zhou Wei, Michel Thera, Jen-Chih Yao
In this paper, we investigate metric subregularity of multifunctions between Asplund spaces. Using Mordukhovich normal cones and coderivatives, we introduce the limiting Basic Cons…
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…
Perturbation Analysis of Error Bounds for Convex Functions on Banach Spaces
Zhou Wei, Michel Théra, Jen-Chih Yao
This paper focuses on the stability of both local and global error bounds for a proper lower semicontinuous convex function defined on a Banach space. Without relying on any dual s…