31 citations · 44 across the 14 of their papers we have counts for
14 papers
Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials
Luu Thi Thu Huyen, Liguo Jiao, Nguyen Van Tuyen
In this paper, we investigate a class of sparse optimization problems in which both the objective and constraint functions are Fréchet differentiable and possess locally Lipschitz…
A proximal subgradient algorithm for constrained multiobjective DC-type optimization
Nguyen Van Tuyen, Minh N. Dao, Tran Van Nghi
In this paper, we consider a class of constrained multiobjective optimization problems, where each objective function can be expressed by adding a possibly nonsmooth nonconvex func…
On approximate Pareto solutions in nonsmooth interval-valued multiobjective optimization with data uncertainty in constraints
Vu Hong Quan, Duong Thi Viet An, Nguyen Van Tuyen
This paper deals with approximate Pareto solutions of a nonsmooth interval-valued multiobjective optimization problem with data uncertainty in constraints. We first introduce some…
On the existence and the stability of solutions in nonconvex vector optimization
Tran Van Nghi, Le Ngoc Kien, Nguyen Van Tuyen
The paper is devoted to the existence of weak Pareto solutions and the weak sharp minima at infinity property for a general class of constrained nonconvex vector optimization probl…
On second-order optimality conditions for optimization problems via Lagrangian functions
Duong Thi Viet An, Nguyen Van Tuyen
This paper focuses on optimality conditions for -smooth optimization problems subject to inequality and equality constraints. By employing the concept of limiting (Mordukh…
Optimality conditions at infinity for nonsmooth minimax programming
Nguyen Van Tuyen, Kwan Deok Bae, Do Sang Kim
This paper is devoted to study of optimality conditions at infinity in nonsmooth minimax programming problems and applications. By means of the limiting subdifferential and normal…
Coderivatives at infinity of set-valued mappings
Do Sang Kim, Pham Tien Son, Nguyen Minh Tung +1
In this paper, the concept of coderivatives at infinity of set-valued mappings is introduced. Well-posedness properties at infinity of set-valued mappings as well as Mordukhovich's…
On error bounds and optimality conditions at infinity
Nguyen Van Tuyen
In this paper, we establish sufficient conditions for the existence of error bounds at infinity for lower semicontinuous inequality systems. We also show that the existence of an e…
Optimality conditions and duality relations in nonsmooth fractional interval-valued multiobjective optimization
Nguyen Huy Hung, Nguyen Van Tuyen
This paper deals with Pareto solutions of a nonsmooth fractional interval-valued multiobjective optimization. We first introduce four types of Pareto solutions of the considered pr…
On AKKT optimality conditions for cone-constrained vector optimization problems
Nguyen Van Tuyen, Yi-Bin Xiao, Ta Quang Son
In this paper, we introduce a kind of approximate Karush--Kuhn--Tucker condition (AKKT) for a smooth cone-constrained vector optimization problem. We show that, without any constra…
A note on approximate Karush-Kuhn-Tucker conditions in locally Lipschitz multiobjective optimization
Nguyen Van Tuyen, Jen-Chih Yao, Ching-Feng Wen
In the recent paper of Giorgi, Jiménez and Novo (J Optim Theory Appl 171:70--89, 2016), the authors introduced the so-called approximate Karush-Kuhn-Tucker (AKKT) condition for smo…
Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions
Yi-Bin Xiao, Nguyen Van Tuyen, Ching-Feng Wen +1
In the present paper, we are concerned with a class of constrained vector optimization problems, where the objective functions and active constraint functions are locally Lipschitz…
Strong Second-Order Karush--Kuhn--Tucker Optimality Conditions for Vector Optimization
Nguyen Quang Huy, Do Sang Kim, Nguyen Van Tuyen
In the present paper, we focus on the vector optimization problems with inequality constraints, where objective functions and constrained functions are Fréchet differentiable, and…
On the existence of Pareto solutions for polynomial vector optimization problems
Do Sang Kim, Tien-Son Pham, Nguyen Van Tuyen
We are interested in the existence of Pareto solutions to the vector optimization problem where $f\colon\mathbb{…