Research in Applied Mathematics

Abstract

Local Convergence for a Frozen Family of Steffensen-Like Methods under Weak Conditions

Author(s): IoannisK.Argyros and SanthoshGeorge

In the present paper, we study the local convergence analysis of a Steffensen-like method considered also in Amat et al. [1] modified suitably to solve equations in the Banach space. Using our idea of restricted convergence domains we extend the applicability of this method.Numericalexampleswhereearlierresultscannotapplytosolveequationsbutourresults canapplyarealsogiveninthisstudy

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