strong convergence theorem for finite family of m-accretive operators in banach spaces
نویسندگان
چکیده
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.
منابع مشابه
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 کاملstrong 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 کاملStrong Convergence for Accretive Operators in Banach Spaces
This paper introduces a composite iteration scheme for approximating a zero point of accretive operators in the framework of uniformly smooth Banach spaces and the reflexive Banach space which has a weak continuous duality map, respectively. Our results improve and extend results of Kim, Xu and some others. AMS Mathematics Subject Classification (1991): 54H25, 47H10
متن کاملStrong convergence theorem for accretive mapping in Banach spaces ∗
Suppose K is a closed convex subset of a real reflexive Banach space E which has a uniformly Gâteaux differentiable norm and every nonempty closed convex bounded subset of E has the fixed point property for nonexpansive mappings. We prove a strong convergence theorem for an m−accretive mapping from K to E. The results in this paper are different from the corresponding results in [8] and they im...
متن کاملCONVERGENCE THEOREMS OF ZEROS OF A FINITE FAMILY OF m-ACCRETIVE OPERATORS IN BANACH SPACES
In this paper, we continue to study convergence problems for a Ishikawa-like iterative process for a finite family of m-accretive mappings. Strong convergence theorems are established in uniformly smooth Banach spaces.
متن کاملSome 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 کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
bulletin of the iranian mathematical societyجلد ۳۹، شماره ۴، صفحات ۷۶۵-۷۷۷
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023