3 papers
math.OC2026
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…
math.OC2025
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…
math.FA2025
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…