Geodesic
On the Convergence of the Ishikawa Iteration in the Class of Quasi Contractive Operators
Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 1 
V. Berinde. On the Convergence of the Ishikawa Iteration in the Class of
Quasi Contractive Operators. Acta mathematica Universitatis Comenianae, Tome 73 (2004) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a11/
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     author = {V. Berinde},
     title = {On the {Convergence} of the {Ishikawa} {Iteration} in the {Class} {of
Quasi} {Contractive} {Operators}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2004},
     volume = {73},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2004_73_1_a11/}
}
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Voir la notice de l'article provenant de la source Comenius University

A convergence theorem of Rhoades \cite{rh2} regarding the approximation of fixed points of some quasi contractive operators in uniformly convex Banach spaces using the Ishikawa iterative procedure, is extended to arbitrary Banach spaces. The conditions on the parameters $\{\alpha_n\}$ that define the Ishikawa iteration are also weakened.