Korean J. Math. Vol. 20 No. 1 (2012) pp.117-126
DOI: https://doi.org/10.11568/kjm.2012.20.1.117

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

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Published: Mar 30, 2012

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Ioannis K. Argyros

Abstract

We provide a convergence analysis of Newton’s method
for set valued maps under center Holder continuity conditions on the
Frcechet derivative of the operator involved. This approach extends
the applicability of earlier works [4,5,7].



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