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…
Solving Indefinite Quadratic Programs by Dynamical Systems: Preliminary Investigations
Massimo Pappalardo, Nguyen Nang Thieu, Nguyen Dong Yen
Preliminary results of our investigations on solving indefinite qua\-dra\-tic programs by dynamical systems are given. First, dynamical systems corresponding to two fundamental DC…
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…
Optimal Control of Several Motion Models
Tan H. Cao, Nilson Chapagain, Haejoon Lee +2
This paper is devoted to the study of the dynamic optimization of several controlled crowd motion models in the general planar settings, which is an application of a class of optim…