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Dynamical System Related to Primal–Dual Splitting Projection Methods.
- Source :
-
Journal of Dynamics & Differential Equations . Dec2023, Vol. 35 Issue 4, p3433-3458. 26p. - Publication Year :
- 2023
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 35
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 173721806
- Full Text :
- https://doi.org/10.1007/s10884-021-10068-4