An extension of the Jacobi algorithm for the complementarity problem in the presence of multivalence

dc.contributor.author	Konnov I.
dc.date.accessioned	2018-09-17T20:58:47Z
dc.date.available	2018-09-17T20:58:47Z
dc.date.issued	2005
dc.identifier.issn	0965-5425
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/134346
dc.description.abstract	The complementarity problem is examined in the case where the basic mapping is the sum of a finite number of superpositions of a univalent off-diagonal antitone mapping and a multivalent diagonal monotone one. An extension is proposed for the Jacobi algorithm, which constructs a sequence converging to a point solution. With the use of this property, the existence of a solution to the original problem is also established. Under certain additional conditions, the minimal element in the feasible set of this problem is one of its solutions. Copyright © 2005 by MAIK "Nauka/Interperiodica".
dc.relation.ispartofseries	Computational Mathematics and Mathematical Physics
dc.subject	Complementarity problem
dc.subject	Existence of solution
dc.subject	Multivalent mapping
dc.subject	Off-diagonal antitonicity
dc.subject	The Jacobi algorithm
dc.title	An extension of the Jacobi algorithm for the complementarity problem in the presence of multivalence
dc.type	Article
dc.relation.ispartofseries-issue	7
dc.relation.ispartofseries-volume	45
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	1127
dc.source.id	SCOPUS09655425-2005-45-7-SID33746573264

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