Geodesic
Iterative solutions of nonlinear equations with Φ-strongly accretive operators
Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 2 
Shin Min Kang; Chi Feng; Zeqing Liu. Iterative solutions of nonlinear equations with Φ-strongly accretive operators. Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a7/
@article{AMUC_2008_77_2_a7,
     author = {Shin Min Kang and Chi Feng and Zeqing Liu},
     title = {Iterative solutions of nonlinear equations with {\ensuremath{\Phi}-strongly} accretive operators},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2008},
     volume = {77},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2008_77_2_a7/}
}
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Voir la notice de l'article provenant de la source Comenius University

Suppose that X, is an arbitrary real Banach space and T : X ® X is a Lipschitz continuous f -strongly accretive operator or uniformly continuous f -strongly accretive operator. We prove that under different conditions the three-step iteration methods with errors converge strongly to the solution of the equation Tx = f for a given f Î X .