期刊文献+

严格拟伪压缩映像族的复合迭代算法 被引量:2

Composite Iteration Methods for Strict Quasi-Pseudo-Contractions
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摘要 在Hilbert空间中设计了一种关于严格拟伪压缩映像族的复合迭代算法,并利用度量投影法证明了严格拟伪压缩映像族的公共不动点的强收敛定理,所得结果改进和推广了一些最新文献的相关结果. The purpose of this paper is to study the Composite iteration methods for Strict quasi-pseudo-contractions and prove a strong convergence theorem for common fixed points of a family of strict quasi-pseudo-contractions in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding ones an- nounced by many others.
出处 《数学的实践与认识》 北大核心 2015年第16期316-320,共5页 Mathematics in Practice and Theory
基金 陕西省自然科学基础研究计划项目(2014JM2-1003) 陕西省教育厅科研计划项目资助(2013JK0575)
关键词 复合迭代 严格拟伪压缩映像族 强收敛定理 Composite iteration methods Strict quasi-pseudo-contraction Fixed point
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参考文献7

  • 1Haiyun Zhou, Strong convergence theorems for a family of Lipschitz quasi-pseudo-contractions in Hilbert spaces, Nonlinear Anal, 2009, 71: 120-125.
  • 2高兴慧,马乐荣.Lipschitz拟伪压缩映像族的收缩投影算法[J].数学的实践与认识,2014,44(20):253-257. 被引量:6
  • 3Haiyun Zhou, Strong convergence theorems for a family of Lipschitz quasi-pseudo-contractions in Hilbert spaces[J]. Nonlinear Anal, 2009, 71: 120-125.
  • 4Aoyama K, Kohsaka F, Takahashi W. Shrinking projection methods for firmly nonexpansive map- pings[J]. Nonlinear Anal, 2009, 71: 1626-1632.
  • 5高兴慧,周海云.拟φ-渐近非扩展映像族的公共不动点的迭代算法[J].系统科学与数学,2010,30(4):486-492. 被引量:16
  • 6Haiyun Zhou, Convergence theorems of fixed points for Lipschitz Pseudo-contractions in Hilbert spaces[J]. J Math Anal Appl, 2008, 343: 546-556.
  • 7Marino G, Xu H K. Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces[J]. J Math Anal Appl, 2007, 329: 336-346.

二级参考文献13

  • 1Haugazeau Y. Sur les Inequations Variationnelles et la Minimisation de Fonctionnelles Convexes. Paris: Universite de Paris, 1968.
  • 2Qin X L, Su Y F. Strong convergence theorems for relatively nonexpansive mappings in a Banach space. Nonlinear Anal., 2007, 67(6): 1958-1965.
  • 3Matsushita S, Takahashi W. A strong convergence theorem for relatively nonexpansive mappings in a Banach space. Journal of Approximation Theory, 2005, 134: 257-266.
  • 4Zhou H Y. Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces. J. Math. Anal. Appl., 2008, 343: 546-556.
  • 5Takahashi W. Nonlinear Functional Analysis. Yokohama: Yokohama Publishers, 2000.
  • 6Zhou Haiyun. Strong convergence theorems for a family of Lipschitz quasi-pseudo-contractions in Hilbert spaces[J]. Nonlinear Anal, 2009, 71: 120-125.
  • 7Zhou Haiyun. Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces[J]. J Math Anal Appl, 2008, 343: 546-556.
  • 8Aoyama K, Kohsaka F, Takahashi W. Shrinking projection methods for firmly nonexpansive map- pings[J]. Nonlinear Anal, 2009, 71: 1626-1632.
  • 9Marino G, Xu H K. Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces[J]. J Math Anal Appi, 2007, 329: 336-346.
  • 10Kim T H, Xu H K. Strong convergence of modified Mann iterations[J]. Nonlinear Anal, 2005, 61: 51-60.

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