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

Hilbert空间中闭的拟严格伪压缩映像的收缩投影方法(英文) 被引量：3

A Shrinking Projection Method for Closed and Quasi-strict Pseudo-contractions in a Hilbert Space
下载PDF
导出
摘要 在Hilbert空间中,引入和研究了一种新的收缩投影迭代算法,用以逼近拟严格伪压缩映像的不动点.在适当的条件下,利用所提出的收缩投影算法证明了闭的拟严格伪压缩映像的不动点的强收敛定理,所得结果改进和推广了近期文献的相关结果. The purpose of this paper is to propose a new shrinking projection method for quasi-strict pseudo- contractions and prove a strong convergence theorem for closed and quasi-strict pseudo-contractions in a Hilbert space. The results of this paper improve and extend some recent relative results.
作者 马乐荣 高兴慧
机构地区 延安大学数学与计算机科学学院
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第6期780-783,共4页 Journal of Sichuan Normal University（Natural Science）
基金 supported by the National Natural Science Foundation of China(10771050) Scientific Research Program Fundedby Shaanxi Provincial Education Department(11JK0486)~~
关键词 收缩投影方法 闭映像 拟严格伪压缩映像 不动点 shrinking projection methods closed mapping quasi-strict pseudo-contraction fixed point
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献8

二级参考文献83

  • 1王广兰,邓磊.广义混合隐拟变分不等式解的算法[J].西南师范大学学报（自然科学版）,2006,31(4):11-14. 被引量：9
  • 2Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive[J]. Proc Amer Math Soc, 1972, 35(1):171-174.
  • 3Xu H K. Existence and convergence for fixed point of mapping of asymptotically nonexpansive type[J]. Nonlinear Anal TMA,1991,224:91-101.
  • 4Zhang S S, Cho Y J, Zhou H Y. Iteration Methods for Nonlinear Operator Equations in Banach Spaces[M]. New York :Nova Science Publishers, 2002.
  • 5Takahashi W. Nonlinear Functional Analysis[M]. Yokohama Publishers, Yokohama,2000.
  • 6Kamimura S, Takahashi W. Strong convergence of a solutions to accretive operator inclusions and applications[J]. Set-Val-ue Anal, 2000,8 : 361-374.
  • 7Haugazeau Y. Sur les Inequations Variationnelles et la Minimisation de Fonctionnelles Convexes. Paris: Universite de Paris, 1968.
  • 8Qin X L, Su Y F. Strong convergence theorems for relatively nonexpansive mappings in a Banach space. Nonlinear Anal., 2007, 67(6): 1958-1965.
  • 9Matsushita S, Takahashi W. A strong convergence theorem for relatively nonexpansive mappings in a Banach space. Journal of Approximation Theory, 2005, 134: 257-266.
  • 10Zhou H Y. Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces. J. Math. Anal. Appl., 2008, 343: 546-556.

共引文献40

同被引文献35

  • 1W TAKAHASHI. Nonlinear Functional Analysis[M]. Yokohama: Yokohama Publishers, 2000.
  • 2BROWDER F. Convergence of Approximants to Fixed Points of Nonexpansive Nonlinear Mappings in Banach spaces [ J ]. Arch Ration Mech Anal, 1967 (24) : 82-90.
  • 3BROWDER F. PETRYSHYN W.Construction of Fixed Points of Nonlinear Mappings in Hilbert Space [ J ]. J Math Anal Appl, 1967(20) : 197-228.
  • 4MANN W. Mean Value Methods in Iteration[ J ]. Proe Amer Math Soc, 1953 (4) :506-510.
  • 5MARINO G, XU H. Weak and Strong Convergence Theorems t[or MYMkMYM-strict Pseudo-contractions in Hilbert spaces [ J ]. J Math Anal Appl, 2007,329 : 336-349.
  • 6KIM T H, XU H K. Strong Convergence of Modified Mann Iterations [ J ]. Nonlinear Anal, 2005(61 ) :51-60.
  • 7ZHOU H. Convergence Theorems of Fixed Points for Pseudo-contractions in Hilbert Spaces [ J ]. Nonlinear Anal, 2008 (69) : 456-462.
  • 8XU H K. An Iterative Approach to Quadratic Optimization[ J ]. J Optim Theory Appl,2003,116:659-678.
  • 9ACEDO G L,XU H K. Iteration Methods for Strict Pseudo-contractions in Hilbert Spaces [ J ]. Nonlinear Anal,2007(67) :2258-2271.
  • 10Takahashi W. Nonlinear Functional Analysis[ M]. Yokohama:Yokohama Publishers,2000.

引证文献3

二级引证文献2

四川师范大学学报（自然科学版）
2011年 第6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