A second-order dynamical system for equilibrium problems

Publication:

A second-order dynamical system for equilibrium problems

datacite.subject.fos	oecd::Engineering and technology
dc.contributor.author	Le Van Vinh
dc.contributor.author	Van Nam Tran
dc.contributor.author	Phan Tu Vuong
dc.date.accessioned	2022-10-31T06:30:21Z
dc.date.available	2022-10-31T06:30:21Z
dc.date.issued	2022
dc.description.abstract	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.
dc.identifier.doi	10.1007/s11075-022-01264-4
dc.identifier.uri	http://repository.vlu.edu.vn:443/handle/123456789/396
dc.language.iso	en_US
dc.relation.ispartof	Numerical Algorithms
dc.relation.issn	1017-1398
dc.relation.issn	1572-9265
dc.subject	"Dynamic programming · Equilibrium problem · Monotonicity · Lipschitz continuity · Exponential stability · Linear convergence"
dc.title	A second-order dynamical system for equilibrium problems
dc.type	journal-article
dspace.entity.type	Publication
oaire.citation.issue	1
oaire.citation.volume	91

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