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非扩张映像的Ishikawa型混杂迭代方法的强收敛定理 被引量:2

Strong convergence of hybrid iteration method for Ishikawa iteration processes for nonexpansive mappings
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摘要 使用新的混杂迭代方法,构造了Ishikawa型迭代序列,并得到了强收敛定理,所得结果改进和发展了Nakajo和Takahashi以及其他作者的相关结果. A new hybrid Ishikawa iteration scheme is presents and the strong convergence theorems of the fixed points for nonexpansive mappings in Hilbert spaces is proved. The results generalize and improve the recent results of Nakajo and Takahashi and some others.
作者 张芳
出处 《天津工业大学学报》 CAS 2007年第3期73-75,共3页 Journal of Tiangong University
关键词 强收敛定理 混杂迭代方法 Ishikawa型迭代 非扩张映像 strong convergence hybrid iteration method modified Ishikawa iteration nonexpansive mappings
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参考文献9

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同被引文献8

  • 1秦小龙,苏永福,李丽华.复合Halpern迭代逼近非扩张映像不动点[J].天津工业大学学报,2006,25(6):78-81. 被引量:1
  • 2KOHSAKA F,TAKAHASHI T. Fixed point theorems for aclass of nonlinear mappings relate to maxi -mal monotone op-erators in Banach spaces [J]. Arch Math (Basel),2008,91:166-177.
  • 3KOHSAKA F, TAKAHASHI T. Existence and approximationof fixed points of firmly nonexpansive type mappings in Banachspaces [J]. SIAM J Optim,2008,19:824-835.
  • 4OSILIKE M 0,ISIPOGUGU F O. Weak and strong conver-gence theorems for nonspreadingtype mappings in Hilbertspaces[J]. Nonlinear Anal,2011,74: 1814—1822.
  • 5TAKAHASHI W, TOYODA M. Weak convergence theoremsfor nonexpansive mappings and monotone mappings[J]. J OptimTheory Appl,2003,118:417-428.
  • 6AOYAMA K,KIMURA Y, TAKAHASHI W,et al. Approxi-mation of common fixed points of a countable family of nonex-pansive mappings in a Banach space [J]. Nonliear Anal,2007,67:2350-2360.
  • 7XU H K. Iterative algorithms for nonlinear operators[J]. J LondMath Soc,2002,66 : 240-256.
  • 8沈金良,黄建华.Hilbert空间中非扩张映射带误差项的Ishikawa迭代序列[J].福州大学学报(自然科学版),2008,36(5):630-633. 被引量:1

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