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- China Medical University HospitalTW59 papers
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10 papers · 1 filter
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…
Sensitivity Analysis of a Stationary Point Set Map under Total Perturbations. Part 1: Lipschitzian Stability
Duong Thi Kim Huyen, Jen-Chih Yao, Nguyen Dong Yen
By applying some theorems of Levy and Mordukhovich (Math Program 99: 311--327, 2004) and other related results, we estimate the Fréchet coderivative and the Mordukhovich coderivati…
Sensitivity Analysis of a Stationary Point Set Map under Total Perturbations. Part 2: Robinson Stability
Duong Thi Kim Huyen, Jen-Chih Yao, Nguyen Dong Yen
In Part 1 of this paper, we have estimated the Fréchet coderivative and the Mordukhovich coderivative of the stationary point set map of a smooth parametric optimization problem wi…
On second-order sufficient optimality conditions for vector optimization problems
Nguyen Van Tuyen, Jen-Chih Yao, Ching-Feng Wen +1
In this paper, we present some second-order sufficient conditions in terms of the Demyanov-Pevnyi's second-order directional derivatives for efficiency of vector optimization…
Differential stability of convex optimization problems with possibly empty solution sets
Duong Thi Viet An, Jen-Chih Yao
As a complement to two recent papers by An and Yen [An, D.T.V., Yen, N.D.: Differential stability of convex optimization problems under inclusion constraints. Appl. Anal., 94, 108-…