4 citations · 7 across the 7 of their papers we have counts for
7 papers
New Outer Approximation Algorithms for Nonsmooth Convex MINLP Problems
Zhou Wei, He-Yi Liu, Bo Zeng
This paper presents a novel outer approximation algorithm for nonsmooth mixed-integer nonlinear programming (MINLP) problems. The method proceeds by fixing the integer variables an…
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…
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…
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…
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…
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…
Characterizations of Stability of Error Bounds for Convex Inequality Constraint Systems
Zhou Wei, Michel Thera, Jen-Chih Yao
In this paper, we mainly study error bounds for a single convex inequality and semi-infinite convex constraint systems, and give characterizations of stability of error bounds via…