A Multi-step Iterative Method for Approximating Fixed Points of Presić-kannan Operators
نویسنده
چکیده
The convergence of a Presić type k-step iterative method for a new class of operators f : Xk → X satisfying a general Presić type contraction condition is proved. Our result is completing an existing list of Presić 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 [Ćirić L. B., Presić S. B., On Presić 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.
منابع مشابه
Approximating common fixed points of Presić-Kannan type operators by a multi-step iterative method
The existence of coincidence points and common fixed points for operators satisfying a Presić-Kannan type contraction condition in a metric spaces setting is proved. A multi-step iterative method for constructing the common fixed points is also provided.
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