Local convergence of a one parameter fourth-order Jarratt-type metho¨d in Banach spaces

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Local Convergence for an Improved Jarratt-type Method in Banach Space

— We present a local convergence analysis for an improved Jarratt-type methods of order at least five to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given using hypotheses up to the first Fréchet derivative in contrast to earlier studies using hypotheses up to the third Fréchet derivative. Numerical examples are also pro...

متن کامل

On the local convergence of a fifth-order iterative method in Banach spaces

A new predictor-corrector iterative procedure, that combines Newton’s method as predictor scheme and a fifth-order iterative method as a corrector, is designed for solving nonlinear equations in Banach spaces. We analyze the local order of convergence and the regions of accessibility of the new method comparing it with Newton’s method, both theoretical and numerically.

متن کامل

Local convergence for a family of third order methods in Banach spaces

S.K. Khattri Department of Engineering Stord Haugesund University College Norway Email: [email protected] Abstract. We present a local convergence analysis of a family of third order methods for approximating a locally unique solution of nonlinear equations in a Banach space setting. Recently, the semilocal convergence analysis of this method was studied by Chun, Stănică and Neta in [10]. T...

متن کامل

Unconditional Convergence in Banach Spaces

Introduction. This note investigates an apparent generalization of unconditionally convergent series ^ x » in weakly complete Banach spaces. A series of elements with Xi in E is said to be unconditionally convergent if for every variation of sign €j= ± 1 , ^TMeiXi is convergent. This formulation of the definition of unconditional convergence is equivalent to that given by Orliczjé]. We call ^Xi...

متن کامل

On statistical type convergence in uniform spaces

The concept of ${mathscr{F}}_{st}$-fundamentality is introduced in uniform spaces, generated by some filter ${mathscr{F}}$. Its equivalence to the concept of ${mathscr{F}}$-convergence in uniform spaces is proved. This convergence generalizes many kinds of convergence, including the well-known statistical convergence.

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

ژورنال

عنوان ژورنال: Commentationes Mathematicae Universitatis Carolinae

سال: 2016

ISSN: 0010-2628,1213-7243

DOI: 10.14712/1213-7243.2015.171