期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Banach空间中有限个非扩张映象公共不动点的迭代逼近 被引量：2

Iterative Approximation to Common Fixed Points of a Finite Nonexpansive Mappings Family in Banach Spaces
在线阅读 下载PDF
导出
摘要 首先引入复合迭代序列{xn},并证明了{xn}强收敛于p∈F=IiN=1F(Ti),n→∞.且p是下面变分不等式在F中的唯一解:〈(I-f)p,j(p-u)〉≤0,u∈F.本文的主要结果推广和改进了文献[3-4]中的相应结果. We introduce a composite iterative sequence { xn } and proved that { xn } converges strongly to p ∈ F = Ii= 1^NF （Ti）, as n→∞ oo, and p is the unique solution in F to variational inequality： （（ I- f）p, j （p - u ））≤0, arbitary u ∈ F. The main results in this paper extended and improved the corresponding results of Ref[3-4].
作者 张芳
机构地区 重庆师范大学数学与计算机科学学院
出处 《沈阳师范大学学报（自然科学版）》 CAS 2008年第4期399-402,共4页 Journal of Shenyang Normal University:Natural Science Edition
关键词 迭代逼近 非扩张映象 公共不动点 变分不等式 iterative approximation nonexpansive mappings common fixed points variational inequality
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献7

  • 1MOUDAFI A. Viscosity approximation methods for fixed points problems[J ]. J Math Anal Appl, 2000,241( 1 ):46-55.
  • 2XU H K. Viscosity approximation methods for nonexpansive mappings[J ]. J Math Anal Appl, 2004,289( 1 ) :279-291.
  • 3CHANG S S. Viscosity approximation methods for a finite family of nonexpansive mappings in Banaeh spaces[J]. J Math Anal Appl, 2006,323.1402-1416.
  • 4SONG Yisheng, CHEN Rudong. Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings[J ]. Applied Mathematics and Computation, 2006,180: 275-287.
  • 5CHANG S S. Some problems and results in the study of nonlinear analysis[J]. Nonlinear Anal, 1997,30(7):4197- 4208.
  • 6WANG X. Fixed point iteration for local strictly pseudoeontractive mappings[J ]. Proc Amer Math Soc, 1991,113:727- 731.
  • 7TAN K K, XU H K. The nonlinear ergodic theorem for asymptotically nonexpansive mappings in Banach spaces[J]. Proc Amer Math Soc, 1992,114:399-404.

同被引文献14

  • 1张石生.关于非扩张映象的最近的公共不动点问题[J].应用数学和力学,2006,27(7):775-780. 被引量：2
  • 2谈斌.几类非线性算子零点或不动点迭代算法研究[D].石家庄:军械工程学院,2004.
  • 3ALBER Y I. Metric and generalizd projection operators in Banach spaces: properties and applications [ C ]//KARTSATOS A G. Theory and Applications of Nonlinear Operators of Accretive and Monotone Type [ M ]. New York: Marcel Dekker, 1996 : 15-50.
  • 4ALBER Y I, REICH S. An iterative method for solving a class of nonlinear operator equations in Banach spaces [ J ]. Pan Amer Math J. ,1994,4(3) :39-54.
  • 5BAUSCHKE H H, COMBETTES P L. A weak-to-strong convergence principle for Feje rmonotone methods in Hilbert space [J]. Math Oper. Rese., 2001,26(3) :248-264.
  • 6CHANG Shisheng, CHO Y J,ZHOU Haiyun. Iterative methods for nonlinear operator equations in Banach space [ M ]. New York : Nova Science Publishers, 2002.
  • 7NAKAJO K,TAKAHASHI W. Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups [ J ]. J. Math Anal. Appl. , 2003,279(6) :372-379.
  • 8TAKAHASHI W. Nonlinear Functional Analysis [ M ]. Yokohama: Yokohama Publishers, 2000.
  • 9AOYAMA K, KOHSAKA F, WATARU T. Shring projection methods for fiemly nonexpansive mapping [ J ]. Nonliner Analysis, 2009 (10) : 1016-1023.
  • 10SONG Yisheng, CHEN Rudong. Strong convergence theorems on an iterative method for a family of finite nonex-pansive mappings[ J]. Applied Mathematics and Computation, 2006,180 (1) :275-287.

引证文献2

二级引证文献2

沈阳师范大学学报（自然科学版）
2008年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部