4 papers
On Differential Stability of a Class of Convex Optimization Problems
Nguyen Dong Yen, Duong Thi Viet An, Vu Thi Huong +1
The recent results of An, Luan, and Yen [Differential stability in convex optimization via generalized polyhedrality. Vietnam J. Math. https://-doi.org/10.1007/s10013-024-00721-y]…
Generalized Polyhedral Convex Optimization Problems
Nguyen Ngoc Luan, Jen-Chih Yao
Generalized polyhedral convex optimization problems in locally convex Hausdorff topological vector spaces are studied systematically in this paper. We establish solution existence…
On Some Generalized Polyhedral Convex Constructions
Nguyen Ngoc Luan, Jen-Chih Yao, Nguyen Dong Yen
Generalized polyhedral convex sets, generalized polyhedral convex functions on locally convex Hausdorff topological vector spaces, and the related constructions such as sum of sets…
Efficient Solutions in Generalized Linear Vector Optimization
Nguyen Ngoc Luan
This paper establishes several new facts on generalized polyhedral convex sets and shows how they can be used in vector optimization. Among other things, a scalarization formula fo…