Dynamical systems and systems of equations

Second order dynamical systems for variational inequalities

speaker: Vuong Phan (University of Southampton)

abstract: We consider two second order dynamical systems for solving pseudo-monotone variational inequalities in Hilbert spaces. Under standard conditions, we prove the existence and uniqueness of strong global solution of the proposed dynamical systems. The global (exponential) convergence of the trajectories is established under (strong) pseudo-monotonicity and Lipschitz continuity assumptions. Discrete versions of the proposed dynamical systems lead to relaxed inertial projection algorithms and the convergence is obtained under suitable conditions on parameters.

timetable:
Thu 23 Jun, 16:20 - 17:20, Aula Dini
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