Some iterative method for finding a common zero of a finite family of accretive operators in Banach spaces

نویسندگان

  • K. Sitthithakerngkiet Nonlinear Dynamic Analysis Research Center‎, ‎Department of Mathematics‎, ‎Faculty of Applied Science‎, ‎King Mongkut's University of Technology North Bangkok (KMUTNB)‎, ‎1518‎, ‎Pracharat 1 Road‎, ‎Wongsawang‎, ‎Bangsue‎, ‎Bangkok‎, ‎10800‎, ‎Thailand
  • P. Kumam Department of Medical Research‎, ‎China Medical University Hospital‎, ‎China Medical University‎, ‎Taichung 40402‎, ‎Taiwan.
  • P. Sunthrayuth KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA)‎, ‎Theoretical and Computational Science Center (TaCS)‎, ‎Science Laboratory Building‎, ‎Faculty of Science‎, ‎King Mongkuts University of Technology Thonburi (KMUTT)‎, ‎126 Pracha Uthit Road‎, ‎Bang Mod‎, ‎Thung Khru‎, ‎Bangkok‎, ‎10140‎, ‎Thailand.
چکیده مقاله:

‎The purpose of this paper is to introduce a new mapping for a finite‎ ‎family of accretive operators and introduce an iterative algorithm‎ ‎for finding a common zero of a finite family of accretive operators‎ ‎in a real reflexive strictly convex Banach space which has a‎ ‎uniformly G^ateaux differentiable norm and admits the duality‎ ‎mapping $j_{varphi}$‎, ‎where $varphi$ is a gauge function invariant‎ ‎on $[0,infty)$‎. ‎Furthermore‎, ‎we prove the strong convergence under‎ ‎some certain conditions‎. ‎The results obtained in this paper improve‎ ‎and extend the corresponding ones announced by many others‎.

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

some iterative method for finding a common zero of a finite family of accretive operators in banach spaces

‎the purpose of this paper is to introduce a new mapping for a finite‎ ‎family of accretive operators and introduce an iterative algorithm‎ ‎for finding a common zero of a finite family of accretive operators‎ ‎in a real reflexive strictly convex banach space which has a‎ ‎uniformly g^ateaux differentiable norm and admits the duality‎ ‎mapping $j_{varphi}$‎, ‎where $varphi$ is a gauge function ...

متن کامل

Strong convergence theorem for finite family of m-accretive operators in Banach spaces

The purpose of this paper is to propose a compositeiterative scheme for approximating a common solution for a finitefamily of m-accretive operators in a strictly convex Banach spacehaving a uniformly Gateaux differentiable norm. As a consequence,the strong convergence of the scheme for a common fixed point ofa finite family of pseudocontractive mappings is also obtained.

متن کامل

A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators

In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite operators to be nonempty, and by showing that in this case, this iterative sequence converges strongly to the metric projection of some point onto the set of c...

متن کامل

Iterative Approximation of a Common Zero of a Countably Infinite Family of m-Accretive Operators in Banach Spaces

Let E be a real reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and let C be a closed convex nonempty subset of E. Strong convergence theorems for approximation of a common zero of a countably infinite family of m-accretive mappings from C to E are proved. Consequently, we obtained strong convergence theorems for a countably infinite family of pseudo...

متن کامل

A new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces

In this paper, we introduce a new iterative scheme to approximate a common fixed point for a finite family of nonexpansive non-self mappings. Strong convergence theorems of the proposed iteration in Banach spaces.

متن کامل

Iterative Approximations of Zeroes for Accretive Operators in Banach Spaces

In this paper, we introduce and study a new iterative algorithm for approximating zeroes of accretive operators in Banach spaces.

متن کامل

منابع من

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

ذخیره در منابع من قبلا به منابع من ذحیره شده

{@ msg_add @}


عنوان ژورنال

دوره 43  شماره 1

صفحات  239- 258

تاریخ انتشار 2017-02-22

با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023