5 papers
Optimization Problems with Nearly Convex Objective Functions and Nearly Convex Constraint Sets
Nguyen Nang Thieu, Nguyen Dong Yen
To every nearly convex optimization problem, that is a minimization problem with a nearly convex objective function and a nearly convex constraint set, we associate a uniquely defi…
Minimax Theorems for Possibly Nonconvex Functions
Nguyen Nang Thieu, Nguyen Dong Yen
This paper establishes three minimax theorems for possibly nonconvex functions on Euclidean spaces or on infinite-dimensional Hilbert spaces. The theorems also guarantee the existe…
The Hartman-Stampacchia Theorem and the Maximum Displacements of Nonvanishing Continuous Vector-Valued Functions
Nguyen Nang Thieu, Nguyen Dong Yen
This paper aims at giving solutions to six interesting interconnected open questions suggested by Professor Biagio Ricceri. The questions focus on the behavior of nonvanishing cont…
Solution Properties of Convex Sweeping Processes with Velocity Constraint
Nguyen Nang Thieu
Some properties of solutions of convex sweeping processes with velocity constraints are studied in this paper. Namely, the solution sensitivity with respect to the initial value, t…
On the Solution Existence for Prox-Regular Perturbed Sweeping Processes
Nguyen Khoa Son, Nguyen Nang Thieu, Nguyen Dong Yen
In the setting adopted by Edmond and Thibault [Mathematical Programming 104 (2005), 347--373], we study a class of perturbed sweeping processes. Under suitable assumptions, we obta…