31 citations · 34 across the 6 of their papers we have counts for
8 papers
Two Optimal Value Functions in Parametric Conic Linear Programming
Nguyen Ngoc Luan, Do Sang Kim, Nguyen Dong Yen
We consider the conic linear program given by a closed convex cone in an Euclidean space and a matrix, where vector on the right-hand-side of the constraint system and the vector d…
On types of KKT points in polynomial optimization
Feng Guo, Do Sang Kim, Liguo Jiao +1
Let be a real polynomial function with variables and be a basic closed semialgebraic set in . In this paper, we are interested in the problem of identifying…
Weak convergence theorems for a symmetric generalized hybrid mapping and an equilibrium problem
Bui Van Dinh, Nguyen Ngoc Hai, Do Sang Kim
In this paper, we introduce three new iterative methods for finding a common point of the set of fixed points of a symmetric generalized hybrid mapping and the set of solutions of…
Existence of efficient and properly efficient solutions to problems of constrained vector optimization
Do Sang Kim, Boris S. Mordukhovich, Tien-Son Pham +1
The paper is devoted to the existence of global optimal solutions for a general class of nonsmooth problems of constrained vector optimization without boundedness assumptions on co…
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{…
Extragradient algorithms for equilibrium problems and symmetric generalized hybrid mappings
Bui Van Dinh, Do Sang Kim
In this paper, we propose new algorithms for finding a common point of the solution set of a pseudomonotone equilibrium problem and the set of fixed points of a symmetric generaliz…
Convergence analysis of a proximal-type algorithm for DC programs with applications to variable selection
Shuang Wu, Bui Van Dinh, Liguo Jiao +2
We consider a minimization problem of the form where is a differentiable function and…