6 papers
A novel neural network with predefined-time stability for solving generalized monotone inclusion problems with applications
Nam Van Tran
We propose a novel dynamical framework for solving inclusion problems of the form \(0 \in F(x) + G(x)\) in Hilbert spaces, where \(F\) is a maximal set-valued operator and \(G\) is…
A Second-Order Dynamical System for Solving Generalized Inverse Mixed Variational Inequality problems
Nam Van Tran
In this paper, we study a class of generalized inverse mixed variational inequality problems (GIMVIPs). We propose a novel projection-based second-order time-varying dynamical syst…
Novel Dynamical Systems with Finite-Time and Predefined-Time Stability for Generalized Inverse Mixed Variational Inequality Problems
Nam Van Tran
This paper investigates a class of generalized inverse mixed variational inequality problems (GIMVIPs), which consist in finding a vector such that \[ F(\bar…
A forward-reflected-anchored-backward splitting algorithm with double inertial effects for solving non-monotone inclusion problems
Nam Van Tran
In this paper, we study inclusion problems where the involved operators may not be monotone in the classical sense. Specifically, we assume the operators to be generalized monotone…
Globally Finite time and Globally Fixed-time stable Dynamical Systems for solving Inverse Quasi-variational inequality problems
Nam Van Tran, Le Thi Thanh Hai
In this paper, we propose two projection dynamical systems for solving inverse quasi-variational inequality problems in finite-dimensional Hilbert spaces-one ensuring finite-time s…
A relaxed proximal point algorithm with double-inertial effects for nonconvex equilibrium problems
Nam Van Tran
In this paper, we present a relaxation proximal point method with double inertial effects to approximate a solution of a non-convex equilibrium problem. We give global convergence…