4 citations · 12 across the 11 of their papers we have counts for
11 papers
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…
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…
Primal Characterizations of Error Bounds for Composite-convex Inequalities
Zhou Wei, Michel Théra, Jen-Chih Yao
This paper is devoted to primal conditions of error bounds for a general function. In terms of Bouligand tangent cones, lower Hadamard directional derivatives and the Hausdorff-Pom…
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…
On Riemann Integration in Metrizable Vector Spaces
Zhou Wei, Zhichun Yang, Jen-Chih Yao
In classical analysis, Lebesgue first proved that has the property that each Riemann integrable function from into is continuous almost everywhere…
On Constraint Qualifications of a Nonconvex Inequality
Zhou Wei, Jen-Chih Yao
In this paper, we study constraint qualifications for the nonconvex inequality defined by a proper lower semicontinuous function. These constraint qualifications involve the genera…
Second-order Optimality Conditions by Generalized Derivatives and Applications in Hilbert Spaces
Zhou Wei, Jen-Chih Yao
In this paper, in terms of three types of generalized second-order derivatives of a nonsmooth function, we mainly study the corresponding second-order optimality conditions in a Hi…