Geodesic
Steffensen Methods for Solving Generalized Equations
Serdica Mathematical Journal, Tome 34 (2008) no. 2, pp. 455-466

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We provide a local convergence analysis for Steffensen's method in order to solve a generalized equation in a Banach space setting. Using well known fixed point theorems for set-valued maps [13] and Hölder type conditions introduced by us in [2] for nonlinear equations, we obtain the superlinear local convergence of Steffensen's method. Our results compare favorably with related ones obtained in [11].
Keywords: Steffensen's Method, Banach Space, Set-Valued Mapping, Generalized Equations, Aubin Continuity, Divided Difference, Newton's Method 
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     author = {Argyros, Ioannis K. and Hilout, Sa{\"\i}d},
     title = {Steffensen {Methods} for {Solving} {Generalized} {Equations}},
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Argyros, Ioannis K.; Hilout, Saïd. Steffensen Methods for Solving Generalized Equations. Serdica Mathematical Journal, Tome 34 (2008) no. 2, pp. 455-466. http://geodesic.mathdoc.fr/item/SMJ2_2008_34_2_a5/