Xian-Jun Long
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View article: Variable Smoothing Alternating Proximal Gradient Algorithm for Coupled Composite Optimization
Variable Smoothing Alternating Proximal Gradient Algorithm for Coupled Composite Optimization Open
In this paper, we consider a broad class of nonconvex and nonsmooth optimization problems, where one objective component is a nonsmooth weakly convex function composed with a linear operator. By integrating variable smoothing techniques wi…
View article: AN EXPERIMENTAL STUDY ON THE IMPACT OF STRUCTURED PEER TUTORING ON ATTITUDES AND ACHIEVEMENTS IN COLLEGE PHYSICS CLASS
AN EXPERIMENTAL STUDY ON THE IMPACT OF STRUCTURED PEER TUTORING ON ATTITUDES AND ACHIEVEMENTS IN COLLEGE PHYSICS CLASS Open
View article: Linear-quadratic Stochastic Stackelberg Differential Games with Affine Constraints
Linear-quadratic Stochastic Stackelberg Differential Games with Affine Constraints Open
This paper investigates the non-zero-sum linear-quadratic stochastic Stackelberg differential games with affine constraints, which depend on both the follower's response and the leader's strategy. With the help of the stochastic Riccati eq…
View article: Inertial primal-dual dynamics with Hessian-driven damping and Tikhonov regularization for convex-concave bilinear saddle point problems
Inertial primal-dual dynamics with Hessian-driven damping and Tikhonov regularization for convex-concave bilinear saddle point problems Open
This paper deals with a second-order primal-dual dynamical system with Hessian-driven damping and Tikhonov regularization terms in connection with a convex-concave bilinear saddle point problem. We first obtain a fast convergence rate of t…
View article: Continuous and discrete-time accelerated methods for an inequality constrained convex optimization problem
Continuous and discrete-time accelerated methods for an inequality constrained convex optimization problem Open
This paper is devoted to the study of acceleration methods for an inequality constrained convex optimization problem by using Lyapunov functions. We first approximate such a problem as an unconstrained optimization problem by employing the…
View article: Tikhonov regularized inertial primal-dual dynamics for convex-concave bilinear saddle point problems
Tikhonov regularized inertial primal-dual dynamics for convex-concave bilinear saddle point problems Open
In this paper, for a convex-concave bilinear saddle point problem, we propose a Tikhonov regularized second-order primal-dual dynamical system with slow damping, extrapolation and general time scaling parameters. Depending on the vanishing…
View article: Approximate optimality conditions and mixed type duality for semi-infinite multiobjective programming problems involving tangential subdifferentials
Approximate optimality conditions and mixed type duality for semi-infinite multiobjective programming problems involving tangential subdifferentials Open
The aim of this paper is to study the approximate solution for semi-infinite multiobjective programming problems related to tangential subdifferentials. Under some mild assumptions, we obtain approximate necessary and sufficient optimality…
View article: Variance-Based Bregman Extragradient Algorithm with Line Search for Solving Stochastic Variational Inequalities
Variance-Based Bregman Extragradient Algorithm with Line Search for Solving Stochastic Variational Inequalities Open
The main purpose of this paper is to propose a variance-based Bregman extragradient algorithm with line search for solving stochastic variational inequalities, which is robust with respect an unknown Lipschitz constant. We prove the almost…
View article: Some characterizations of robust optimal solutions for uncertain fractional optimization and applications
Some characterizations of robust optimal solutions for uncertain fractional optimization and applications Open
In this paper, following the framework of robust optimization, we consider robust optimal solutions for a fractional optimization problem in the face of data uncertainty both in the objective and constraints. To this end, by using the prop…
View article: Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems
Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems Open
In this paper, we establish an existence result for the (GSVQEP) without assuming that the dual of the ordering cone has a weak star compact base and give an example to show our existence theorem is different from the main result of Long e…
View article: Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems
Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems Open
View article: Generic stability of the solution mapping for set-valued optimization problems
Generic stability of the solution mapping for set-valued optimization problems Open
In this paper, we consider the generic stability of the weakly efficient solution mapping for set-valued optimization problems. Firstly, we obtain the upper semicontinuity of the weakly efficient solution mapping for set-valued optimizatio…