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

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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 
@article{SMJ2_2008_34_2_a5,
     author = {Argyros, Ioannis K. and Hilout, Sa{\"\i}d},
     title = {Steffensen {Methods} for {Solving} {Generalized} {Equations}},
     journal = {Serdica Mathematical Journal},
     pages = {455--466},
     publisher = {mathdoc},
     volume = {34},
     number = {2},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2008_34_2_a5/}
}
TY  - JOUR
AU  - Argyros, Ioannis K.
AU  - Hilout, Saïd
TI  - Steffensen Methods for Solving Generalized Equations
JO  - Serdica Mathematical Journal
PY  - 2008
SP  - 455
EP  - 466
VL  - 34
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_2008_34_2_a5/
LA  - en
ID  - SMJ2_2008_34_2_a5
ER  - 
%0 Journal Article
%A Argyros, Ioannis K.
%A Hilout, Saïd
%T Steffensen Methods for Solving Generalized Equations
%J Serdica Mathematical Journal
%D 2008
%P 455-466
%V 34
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_2008_34_2_a5/
%G en
%F SMJ2_2008_34_2_a5
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/