9 citations · 23 across the 11 of their papers we have counts for
11 papers
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…
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…
On Metric Subregularity for Convex Constraint Systems by Primal Equivalent Conditions
Liyun Huang, Zhou Wei
In this paper, we mainly study metric subregularity for a convex constraint system defined by a convex set-valued mapping and a convex constraint subset. The main work is to provid…
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…