Geodesic
A multi-step iterative method for approximating fixed points of Presic-Kannan operators
Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1 
M. Pacurar. A multi-step iterative method for approximating fixed points of Presic-Kannan operators. Acta mathematica Universitatis Comenianae, Tome 79 (2010) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a9/
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     author = {M. Pacurar},
     title = {A multi-step iterative method for approximating fixed points of {Presic-Kannan} operators},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2010},
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     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2010_79_1_a9/}
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Voir la notice de l'article provenant de la source Comenius University

The convergence of a Presic type k -step iterative method for a new class of operators f : Xk ® X satisfying a general Presic type contraction condition is proved. Our result is completing an existing list of Presic type iteration methods, see [Rus I. A., An iterative method for the solution of the equation x = f ( x, . . . ,x ), Rev. Anal. Numer. Theor. Approx., 10(1) (1981), 95-100] and the recent [Ciric L. B., Presic S. B., On Presic type generalization of the Banach contraction mapping principle , Acta Math. Univ. Comenianae, 76(2) (2007), 143-147], having significant potential applications in the study of nonlinear difference equations. Keywords: fixed point approximation; k-step iteration procedure; Presic type contraction condition; Kannan type operator; rate of convergence; data dependence; nonlinear difference equation. AMS Subject classification: Primary: 47H10, 54H25. PDF Compressed Postscript Version to read Acta Mathematica Universitatis Comenianae ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2008, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE