A Multi-step Iterative Method for Approximating Fixed Points of Presić-kannan Operators

نویسنده

  • M. PĂCURAR
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.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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.

متن کامل

A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces

‎In this paper‎, ‎we propose a new one-step iterative process for a‎ ‎countable family of quasi-nonexpansive multi-valued mappings in a‎ ‎CAT(0) space‎. ‎We also prove strong and $Delta$-convergence theorems‎ ‎of the proposed iterative process under some control conditions‎. ‎Our‎ ‎main results extend and generalize many results in the literature.

متن کامل

A New Multi-Step Iterative Algorithm for Approximating Common Fixed Points of a Finite Family of Multi-Valued Bregman Relatively Nonexpansive Mappings

In this article, we introduce a new multi-step iteration for approximating a common fixed point of a finite class of multi-valued Bregman relatively nonexpansive mappings in the setting of reflexive Banach spaces. We prove a strong convergence theorem for the proposed iterative algorithm under certain hypotheses. Additionally, we also use our results for the solution of variational inequality p...

متن کامل

Approximating Fixed Points by a Two-Step Iterative Algorithm

In this paper, we introduce a two-step iterative algorithm to prove a strong convergence result for approximating common fixed points of three contractive-like operators. Our algorithm basically generalizes an existing algorithm..Our iterative algorithm also contains two famous iterative algorithms: Mann iterative algorithm and Ishikawa iterative algorithm. Thus our result generalizes the corre...

متن کامل

Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces

We introduce a new iterative scheme for nding a common elementof the solutions set of a generalized mixed equilibrium problem and the xedpoints set of an innitely countable family of nonexpansive mappings in a Banachspace setting. Strong convergence theorems of the proposed iterative scheme arealso established by the generalized projection method. Our results generalize thecorresponding results...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010