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渐近拟非扩张映射的具误差三步迭代序列的收敛定理 被引量:2

CONVERGENCE THEOREM OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPING BY THREE STEPS ITERATIVE SEQUENCE WITH ERRORS
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摘要 证明了在实Banach空间中当T是渐近拟非扩张映射时,三步迭代具误差序列收敛到T的不动点. Let T is asymptotically quasi -nonexpansive self- mapping in real Banach Space, and it is proved that three steps iterative sequence with Errors converges to the fixed point of T.
机构地区 哈尔滨理工大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2009年第1期10-13,共4页 Natural Science Journal of Harbin Normal University
基金 国家自然科学基金资助项目(10571037)
关键词 实BANACH空间 渐近拟非扩张 不动点 Real Banach Space Asymptotically quasi - nonexpansive Fixed point
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参考文献3

  • 1Liu Qihon.Iterative Sequences for Asymptotically Quasi-nonexpansive Mappings with Error Member[J].J.Math.Anal.Appl,2001,259:18-24.
  • 2Y.J.Cho,H.Y.Zhou,G.T.Guo.Weak and Streng Convergence Theorems for three-step Iterations with Errors for Asymptotically Non-expansive Mappings[J].Comput.Math.Appi,2004,47:707-717.
  • 3Weerayuth Nilsrakoo and Safit Saejung.A Reconsideration on Convergence of three-step Iterations for Asymptotically Nonexpansive Mappings[J].Applied Mathematics and Computation,2007,190:1472-1478.

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