5 papers
Stochastic Model-Based Methods for Minimizing Paraconvex Functions
Tan Khiem Huynh, Van Ngai Huynh
This paper studies stochastic algorithms for minimizing paraconvex functions, a function class that generalizes weakly convex functions and includes, for instance, Hölder smooth fu…
Finding directional stationary points of DC programs
Hoai An Le Thi, Van Ngai Huynh, Tao Pham Dinh
We address the problem of computing stationary points for non-smooth, non-convex optimization problems. While this topic is well studied in the smooth setting, fewer algorithmic an…
Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions
Van Ngai Huynh, Michel Théra
In this paper, we present some implicit function theorems for set-valued mappings between Fréchet spaces. The proof relies on Lebesgue's Dominated Convergence Theorem and on Ekelan…
Directional Hölder Metric Regularity
Van Ngai Huynh, Huu Tron Nguyen, Michel Théra
This paper sheds new light on regularity of multifunctions through various characterizations of directional Hölder /Lipschitz metric regularity, which are based on the concepts of…
Metric regularity of composition set-valued mappings: metric setting and coderivative conditions
Marius Durea, Van Ngai Huynh, Huu Tron Nguyen +1
The paper concerns a new method to obtain a direct proof of the openness at linear rate/metric regularity of composite set-valued maps on metric spaces by the unification and refin…