Paper Title:
Convergence Theorems for Accretive Operators in Banach Spaces
  Abstract

In this paper, a new iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of the variational inequality for an inverse-strongly accretive operator in a 2-uniformly smooth Banach space was introduced . It was verified that the sequence converged to a common element of two sets.

  Info
Periodical
Edited by
Shaobo Zhong, Yimin Cheng and Xilong Qu
Pages
224-228
DOI
10.4028/www.scientific.net/AMM.50-51.224
Citation
Y. Guo, J. W. He, Y. M. Yang, "Convergence Theorems for Accretive Operators in Banach Spaces", Applied Mechanics and Materials, Vols. 50-51, pp. 224-228, 2011
Online since
February 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Huan Cheng Zhang, Ai Min Yang, Ya Mian Peng, Jing Guo Qu
Abstract:Let E be a real q-uniformly smooth and uniformly convex Banach space and K a nonempty closed convex subset of E. Let Ti : K ! K, i = 1; 2; :...
432
Authors: Cheng Wang, Zhi Ming Wang
Abstract:In this paper, suppose is an arbitrary uniformly smooth real Banach space, and is a nonempty closed convex subset of . Let be a generalized...
718
Authors: Bao Di Fang
Chapter 6: Applied Computing Methods and Computer Technology
Abstract:In this paper, we introduce and study a new class of completely generalized set-valued strongly nonlinear variational inclusions in Hilbert...
598
Authors: Yang Liu, Yan Hao
Chapter 6: Intelligence Algorithm and Artificial Intelligence
Abstract:The aim of this work is to consider an iterative method for a-strict pseudo-contractions. Strong convergence theorems are established in a...
1402
Authors: Yuan Heng Wang, Wei Wei Sun
Chapter 4: Data Processing and Applied Computational Methods and Algorithms
Abstract:In a real Banach space E with a uniformly differentiable norm, we prove that a new iterative sequence converges strongly to a fixed point of...
3628