SciELO - Scientific Electronic Library Online

 
vol.13 número1Evolutionary method of construction of solutions of polynomials and related generalized dynamicsq− Fractional Inequalities índice de autoresíndice de materiabúsqueda de artículos
Home Pagelista alfabética de revistas  

Servicios Personalizados

Revista

Articulo

Indicadores

Links relacionados

Compartir


Cubo (Temuco)

versión On-line ISSN 0719-0646

Resumen

ARGYROS, Ioannis K  y  HILOUT, Saïd. On the solution of generalized equations and variational inequalities. Cubo [online]. 2011, vol.13, n.1, pp.45-60. ISSN 0719-0646.  http://dx.doi.org/10.4067/S0719-06462011000100004.

Uko 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 Fréchet-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.

Palabras clave : Generalized equation; variational inequality; nonlinear complementarity problem; nonlinear operator equation; Kantorovich theorem; generalized Newton’s method; center-Lipschitz condition.

        · resumen en Español     · texto en Inglés     · Inglés ( pdf )

 

Creative Commons License Todo el contenido de esta revista, excepto dónde está identificado, está bajo una Licencia Creative Commons