A second-order dynamical system for equilibrium problems.
In: Numerical Algorithms, Jg. 91 (2022-09-01), Heft 1, S. 327-351
Online
academicJournal
Zugriff:
We consider a second-order dynamical system for solving equilibrium problems in Hilbert spaces. Under mild conditions, we prove existence and uniqueness of strong global solution of the proposed dynamical system. We establish the exponential convergence of trajectories under strong pseudo-monotonicity and Lipschitz-type conditions. We then investigate a discrete version of the second-order dynamical system, which leads to a fixed point-type algorithm with inertial effect and relaxation. The linear convergence of this algorithm is established under suitable conditions on parameters. Finally, some numerical experiments are reported confirming the theoretical results. [ABSTRACT FROM AUTHOR]
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Titel: |
A second-order dynamical system for equilibrium problems.
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Autor/in / Beteiligte Person: | Van Vinh, Le ; Tran, Van Nam ; Vuong, Phan Tu |
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Zeitschrift: | Numerical Algorithms, Jg. 91 (2022-09-01), Heft 1, S. 327-351 |
Veröffentlichung: | 2022 |
Medientyp: | academicJournal |
ISSN: | 1017-1398 (print) |
DOI: | 10.1007/s11075-022-01264-4 |
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