Steffensen Methods for Solving Generalized Equations
| Data(s) |
21/07/2016
21/07/2016
2008
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|---|---|
| Resumo |
2000 Mathematics Subject Classification: 65G99, 65K10, 47H04. 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]. |
| Identificador |
Serdica Mathematical Journal, Vol. 34, No 2, (2008), 455p-466p 1310-6600 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #Steffensen's Method #Banach Space #Set-Valued Mapping #Generalized Equations #Aubin Continuity #Divided Difference #Newton's Method |
| Tipo |
Article |
