Three-steps iterative algorithms for mixed variational inequalities

Bnouhachem, A; Noor, MA; Rassias, ThM

dc.contributor.author	Bnouhachem, A	en
dc.contributor.author	Noor, MA	en
dc.contributor.author	Rassias, ThM	en
dc.date.accessioned	2014-03-01T01:25:24Z
dc.date.available	2014-03-01T01:25:24Z
dc.date.issued	2006	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17650
dc.subject	Mixed variational inequalities	en
dc.subject	Pseudomonotone	en
dc.subject	Resolvent operator	en
dc.subject	Self-adaptive rules	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Algorithms	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Problem solving	en
dc.subject.other	Mixed variational inequalities	en
dc.subject.other	Pseudomonotone	en
dc.subject.other	Resolvent operator	en
dc.subject.other	Self-adaptive rules	en
dc.subject.other	Iterative methods	en
dc.title	Three-steps iterative algorithms for mixed variational inequalities	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.amc.2006.05.086	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.amc.2006.05.086	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	It is well known that the mixed variational inequalities are equivalent to the fixed point problems and the resolvent equations. Using this equivalence, we suggest and consider a new three-step iterative method for solving mixed variational inequalities. The new iterative method is obtained by using three-steps under suitable conditions. We prove that the new method is globally convergent. Our results can be viewed as significant extensions of the previously known results for mixed variational inequalities. Since mixed variational inequalities include variational inequalities as special cases, our method appears to be a new one for solving variational inequalities. Preliminary numerical experiments are included to illustrate the advantage and efficiency of the proposed method. (c) 2006 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/j.amc.2006.05.086	en
dc.identifier.isi	ISI:000243828600044	en
dc.identifier.volume	183	en
dc.identifier.issue	1	en
dc.identifier.spage	436	en
dc.identifier.epage	446	en