p. 77 - 88 A multi-step iterative method for approximating fixed points of Presic-Kannan operators M. Pacurar Received: December 15, 2008; Revised: April 27, 2009; Accepted: May 7, 2009 Abstract. 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.
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