[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2012.20.1.117

ON THE CONVERGENCE OF NEWTON'S METHOD FOR SET VALUED MAPS UNDER WEAK CONDITIONS

Argyros, Ioannis K. (Cameron University Department of Mathematical Sciences)

Publication Information

Korean Journal of Mathematics / v.20, no.1, 2012 , pp. 117-123 More about this Journal

Abstract

We provide a convergence analysis of Newton's method for set valued maps under center H $\ddot{o}$ lder continuity conditions on the Fr $\acute{e}$ chet derivative of the operator involved. This approach extends the applicability of earlier works [4,5,7].

Keywords

Set valued maps; Newton's method; Aubin continuity; generalized equations; center-H $\ddot{o}$ lder continuity;

Citations & Related Records

Reference

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