Show simple item record

On the solution of generalized equations and variational inequalities

dc.creatorArgyros, Ioannis K.
dc.creatorHilout, Saïd
dc.date2011-03-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1381
dc.identifier10.4067/S0719-06462011000100004
dc.descriptionUko and Argyros provided in [18] a Kantorovich–type theorem on the existence and uniqueness of the solution of a generalized equation of the form f(u)+g(u) ∋ 0, where f is a Fr´echet–differentiable function, and g is a maximal monotone operator defined on a Hilbert space. The sufficient convergence conditions are weaker than the corresponding ones given in the literature for the Kantorovich theorem on a Hilbert space. However, the convergence was shown to be only linear. In this study, we show under the same conditions, the quadratic instead of the linear convergenve of the generalized Newton iteration involved.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1381/1233
dc.sourceCUBO, A Mathematical Journal; Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal; 45–60en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 13 Núm. 1 (2011): CUBO, A Mathematical Journal; 45–60es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectGeneralized equationen-US
dc.subjectvariational inequalityen-US
dc.subjectnonlinear complementarity problemen-US
dc.subjectnonlinear operator equationen-US
dc.subjectKantorovich theoremen-US
dc.subjectgeneralized Newton’s methoden-US
dc.subjectcenter–Lipschitz conditionen-US
dc.titleOn the solution of generalized equations and variational inequalitiesen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


This item appears in the following Collection(s)

Show simple item record