ON THE LOCAL CONVERGENCE OF A TWO-STEP STEFFENSEN-TYPE METHOD FOR SOLVING GENERALIZED EQUATIONS

ON THE LOCAL CONVERGENCE OF A TWO-STEP STEFFENSEN-TYPE METHOD FOR SOLVING GENERALIZED EQUATIONS

We use a two-step Steffensen-type method [1], [2], [4], [6], [13]-[16] to solve a generalized equation in a Banach space setting under Hölder-type conditions introduced by us in [2], [6] for nonlinear equations. Using some ideas given in [4], [6] for nonlinear equations, we provide a local convergen...

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Bibliographic Details
Main Authors: ARGYROS,IOANNIS K, HILOUT,SAÏD
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2008
Subjects:
Banach space
Steffensen’s method
generalized equation
Aubin continuity
Hölder continuity
radius of convergence
divided difference
set- valued map
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172008000300007
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