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Lipschitz拟伪压缩映像族的具误差的收缩投影算法

Shrinking Projection Methods with Errors for a Family of Lipschitz Quasi-pseudo-contractions
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摘要 在Hilbert空间框架下,提出了一种关于Lipschitz拟伪压缩映像族的公共不动点的具误差的收缩投影算法,并运用该算法证明了其公共不动点的强收敛定理. The purpose is to study the shrinking projection methods with errors for a family of Lipschitz quasi-pseudo-contractions.Then,we proved a strong convergence theorem for common fixed points by using the proposed projection algorithms in the framework of Hilbert spaces.
作者 何春丽 高兴慧 HE Chun-li GAO Xing-hui(College of Mathematics and Computer Science,Yan'an University,Yan'an 716000,China)
出处 《云南师范大学学报(自然科学版)》 2017年第2期35-41,共7页 Journal of Yunnan Normal University:Natural Sciences Edition
基金 陕西省自然科学基础研究计划资助项目(2014JM2-1003) 陕西省高水平大学建设专项资金资助项目(2012SXTS07)
关键词 具误差的收缩投影算法 Lipschitz拟伪压缩映像族 公共不动点 强收敛定理 Shrinking projection methods with errors Lipschitz quasi-pseudo-contraction Strong convergence theorem Common fixed point
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  • 1曾六川.Banach空间中渐近非扩张映象的修正Reich-Takahashi型迭代法的强收敛性[J].数学物理学报(A辑),2006,26(1):39-44. 被引量:2
  • 2倪仁兴.含k-次增生算子的非线性方程的迭代程序[J].浙江大学学报(理学版),2006,33(5):491-495. 被引量:5
  • 3Blum E, Oetti W. From optimization and variational inequalities to equilibrium problems. Math Student, 1994, 63:123-145.
  • 4Combettes P L, Hirstoaga S A. Equilibrium programms in Hilbert spaces. J Nonlinear Convex Anal, 2005, 6:117-136.
  • 5Moudafi A. Second-order differential proximal methods for equilibrium problems. J Inequal Pure Appl Math, 2003, 4:1-8.
  • 6Takahashi W, Zembayashi K. Strong and weak convergence theorems for equilibrium problems and rela- tively nonexpansive mappings in Banach spaces. Nonlinear Anal, 2009, 70:45-57.
  • 7Takahashi S, Takahashi W. Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces. J Math Anal Appl, 2007, 331:506-515.
  • 8Qin X L, Shang S M, Su Y F. A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces. Fixed Point Theory and Applications, 2008, 2008:1-9.
  • 9Alber Ya I. Metric and Generalized Projection Operators in Banach Spaces: Properties and Applica- tions//Kartsatos A G ed. Theory and Applications of Nonlinear Operators of Accretive and Monotone Type. New York: Marcel Dekker, 1996:15-50.
  • 10Alber Ya I, Reich S. An iterative method for solving a class of nonlinear operator equations in Banach spaces. Panamer Math J, 1994, 4:39-54.

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