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一致凸Banach空间上有限个非扩张映象的隐式迭代过程 被引量：2

An Implicit Iterative Process for a Finite Family of Nonexpansive Mappings in Uniformly Convex Banach Space
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摘要 对有限个具有公共不动点的非扩张映象引入具误差的隐式迭代序列,并在不同条件下证明了具误差的隐式迭代序列分别弱收敛,和强收敛于这有限个非扩张映象的某一公共不动点。 This paper introduces implicit iterative sequence possessed errors for a finite family of nonexpansive mappings with common fixed points and proves that, under different conditions, the implicit iterative sequence with errors converges weakly and converges strongly to a common fixed point respectively.
作者 向长合
机构地区 重庆师范大学数学与计算机科学学院
出处 《重庆师范大学学报（自然科学版）》 CAS 2006年第2期5-7,共3页 Journal of Chongqing Normal University:Natural Science
基金 国家自然科学基金项目(No.10471159)
关键词 一致凸BANACH空间 非扩张映象 隐式迭代序列 公共不动点 OPIAL条件 uniformly convex Banach space nonexpansive mappings implicit iterative sequence common fixed point Opial＇s condition
分类号 O177.91 [理学—基础数学]
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参考文献8

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  • 3CHANG S S, CHO Y J, ZHOU H Y. Demi-closed Principle and Weak Convergence Problems for Asymptotically Nonexpansive Mappings [J]. J Korean Math Soc, 2001,38: 1245-1260.
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同被引文献17

  • 1李凤友,刘斌.混合单调算子方程解的存在与唯一性定理[J].天津师大学报（自然科学版）,1993(3):1-6. 被引量：2
  • 2罗元松.一类迭代序列的收敛性[J].四川大学学报（自然科学版）,2006,43(6):1187-1191. 被引量：1
  • 3王学武.一致凸Banach空间非扩张映象带误差的Ishikawa型的三重迭代序列的收敛性[J].大学数学,2007,23(1):56-60. 被引量：2
  • 4Guo D J,Lakhmikantham V.Coupled fixed points of nonlinear operator with applications[J].Noniliner Anal TMA,1987,11(5):623-632.
  • 5Zhang.S S,Guo W P.On the existence and uniqueness theorems of solutions for the systems of mired monotone operator equations with applications[J].Applied Mathematics,Journal of Chinese Universities(SerB),1993,8:11-14.
  • 6Browder F E. Nonexpansive nonlinear operators in a Banach space[J]. Proc Nat Aead Sei USA, 1965,54 : 1041-1044.
  • 7Takahashi W,Shimoji K. Convergence theorems for nonex- pansive mappings and feasibility problems[J]. Mathemati- cal and Computer Modelling, 2000,32 : 1463-1471.
  • 8Aoyama K, Kohsaka F. Fixed point theorem for ocnonex- pansive mappings in banach spaces [J]. Nonliner Anal, 2011,74:4387-4391.
  • 9Xu Y G. Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive operator equations [J]. J Math Anal Appl,1998,224:91-101.
  • 10Chang S S, Cho Y J, Zhou H Y. Demi-closed principle and weak convergence problems for asymptotically nonexpansive map- pings[J]. J Korean Math Soc, 2001,38 : 1245-1260.

引证文献2

二级引证文献3

重庆师范大学学报（自然科学版）
2006年 第2期

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