Resumen de A Gradient-Like Regularized Dynamics for Monotone Equilibrium Problems
Pham Ky Anh, Trinh Ngoc Hai, Vu Tien Dung
In this paper, a gradient-like regularized dynamical system associated with a mono-tone equilibrium problem is studied. First, we give a rigorous proof of the existenceand uniqueness of the strong global solution to the dynamical system. Then, we obtainstrong convergence of the generated trajectories to a solution of the original equilib-rium. A time discretization of the dynamical system provides a strongly convergentiterative regularization gradient-type method with relaxation parameters. Finally, theperformance of the regularized dynamical system approach is illustrated by numericalexperiments.
