Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614560 | Journal of Mathematical Analysis and Applications | 2016 | 13 Pages |
Abstract
We investigate the existence and uniqueness of (locally) absolutely continuous trajectories of a penalty term-based dynamical system associated to a constrained variational inequality expressed as a monotone inclusion problem. Relying on Lyapunov analysis and on the ergodic continuous version of the celebrated Opial Lemma we prove weak ergodic convergence of the orbits to a solution of the constrained variational inequality under investigation. If one of the operators involved satisfies stronger monotonicity properties, then strong convergence of the trajectories can be shown.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Radu Ioan Boţ, Ernö Robert Csetnek,