Publication details
Dynamical System Related to Primal–Dual Splitting Projection Methods
| Authors | |
|---|---|
| Year of publication | 2023 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Dynamics and Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Web | https://link.springer.com/article/10.1007/s10884-021-10068-4 |
| Doi | http://dx.doi.org/10.1007/s10884-021-10068-4 |
| Keywords | Autonomous ordinary differential equations; Locally Lipschitz vector field; Existence and uniqueness of solutions; Extendability of solutions; Projected dynamical systems |
| Description | We introduce a dynamical system to the problem of finding zeros of the sum of two maximally monotone operators. We investigate the existence, uniqueness and extendability of solutions to this dynamical system in a Hilbert space. We prove that the trajectories of the proposed dynamical system converge strongly to a primal-dual solution of the considered problem. Under explicit time discretization of the dynamical system we obtain the best approximation algorithm for solving coupled monotone inclusion problem. |
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