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Banach空间中带弱压缩的非扩张映像的黏性逼近方法

Viscosity approximation methods with weakly contractive mapping for nonexpansive mapping
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摘要 在Banach空间中用带弱压缩映像的黏性逼近方法,得出了非扩张映像迭代序列收敛于不动点新的充分必要条件.这一结果推广和改进了非扩张映像迭代序列收敛于不动点的充分必要条件,并可应用于一些学者最新研究结果. By using Viscosity approximation methods with weakly contractive mapping for nonexpansive in Banach space,some new sufficient and necessary conditions for the iterative sequence to converge to a fixed point without some conditons are obtained.The results extend and improve sufficient and necessary conditions for the iterative sequence to converge to a fixed point.The results can also be used in some recent results.
作者 吴先兵
机构地区 长江师范学院数学与计算机学院
出处 《山东理工大学学报（自然科学版）》 CAS 2011年第5期36-39,43,共5页 Journal of Shandong University of Technology:Natural Science Edition
基金 重庆市教委科研项目(KG111309) 长江师范学院自然科学基金资助项目(2010C015)
关键词 非扩张映像 弱压缩映像 不动点 BANACH空间 nonexpansive mapping weakly contractive mapping fixed point Banach space
分类号 O17 [理学—基础数学]
  • 相关文献

参考文献10

  • 1WANG Ya-qin (Mathematics and Sciences College, Shanghai Normal University, Shanghai 200234, China).Viscosity approximation methods with weakly contractive mappings for nonexpansive mappings[J]Journal of Zhejiang University(Science A:An International Applied Physics & Engineering Journal),2007(10).
  • 2张石生.Banach空间中非扩张映象的黏性逼近方法[J].数学学报（中文版）,2007,50(3):485-492. 被引量：13
  • 3张石生,田有先.关于Halpern的公开问题[J].数学学报（中文版）,2005,48(5):979-984. 被引量：5
  • 4Xu H K.Viscosity approximation methods for nonexpansivemappingJournal of Mathematical Analysis and Applications,2004.
  • 5Ofoedu E U.Strong convergence theorem for uniformly L-Lip-schitzian asymptotically pseudocontractive mapping in real Ba-nach spaceJournal of Mathematical Analysis and Applications,2006.
  • 6Moudafi A.Viscosity approximation methods for fixed-points problemsJournal of Mathematical Analysis and Applications,2000.
  • 7Alber, Y. I,Guerre-Delabriere, S.Principle of weakly contractive maps in Hilbert spacesNew Results in Operator Theory and Its Applications,1997.
  • 8Rhoades B E.Some theorems on weakly contractive mapsNonlinear Analysis,2001.
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  • 10Halpern,B.Fixed points of nonexpansive mapsBulletin of the American Mathematical Society,1967.

二级参考文献30

  • 1Chang S. S., Cho Y. J., Zhou H. Y., Iterative methods for nonlinear operator equations in Banach spaces,New York: Nova Science Publishers, Inc. 2002.
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  • 10Xu H. K., Another control condition in an iterarive method for nonexpansive mappings, Bull. Austral. Math.Soc., 2002, 65: 109-113.

共引文献16

山东理工大学学报（自然科学版）
2011年 第5期

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