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

Ioannis K. Argyros
2012 Korean Journal of Mathematics  
We provide a convergence analysis of Newton's method for set valued maps under center Hölder continuity conditions on the Fréchet derivative of the operator involved. This approach extends the applicability of earlier works [4, 5, 7] .
doi:10.11568/kjm.2012.20.1.117 fatcat:kbgcfa6hsfhpdntj7mmyxpprsi