5 papers
Discontinuous Strongly Quasiconvex Functions
Nguyen Thi Van Hang, Felipe Lara, Nguyen Dong Yen
A fundamental open question asking whether all real-valued strongly quasiconvex functions defined on are necessarily continuous, akin to their convex counterparts, is…
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 DC Optimization Problems
Vu Thi Huong, Duong Thi Kim Huyen, Nguyen Dong Yen
The problem of minimizing the difference of two lower semicontinuous, proper, convex functions (a DC function) on a nonempty closed convex set in a locally convex Hausdorff topolog…
Stability of Nonhomogeneous Split Equality and Split Feasibility Problems with Possibly Nonconvex Constraint Sets
Vu Thi Huong, Hong-Kun Xu, Nguyen Dong Yen
By applying some techniques of set-valued and variational analysis, we study solution stability of nonhomogeneous split equality problems and nonhomogeneous split feasibility probl…
Stability analysis of split equality and split feasibility problems
Vu Thi Huong, Hong-Kun Xu, Nguyen Dong Yen
In this paper, for the first time in the literature, we study the stability of solutions of two classes of feasibility (i.e., split equality and split feasibility) problems by set-…