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5 papers · 2 filters
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-…
Differentiability Properties of a Parametric Consumer Problem
Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen
We study the budget map and the indirect utility function of a parametric consumer problem in a Banach space setting by some advanced tools from set-valued and variational analysis…