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一致光滑Banach空间中一类映像的收敛性

Convergence for A kind of Mappings in Uniformly Smooth Banach Spaces
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摘要 将Banach空间中Ishikawa型迭代格式的收敛性问题推广至带混合误差的Ishikawa型迭代格式的情形,所用的证明方法和技巧有所改进. Ishikawa iterative schemes are extended to Ishikawa iterative schemes with mixed errors in Uniforrnly Smooth Banach Spaces, method of proof and technique are improved.
出处 《河北大学学报(自然科学版)》 CAS 北大核心 2008年第5期459-461,560,共4页 Journal of Hebei University(Natural Science Edition)
基金 国家自然科学基金资助项目(10471033) 军械工程学院科研基金项目(YJJXM0611)
关键词 广义Lipschitz条件 强伪压缩映像 混合误差 generalized Lipschitz condition stong psendo-contraction mixed error
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  • 1周海云.关于Ishikawa迭代的一点注记[J].科学通报,1997,42(2):126-128. 被引量:3
  • 2GROMBEZ G. Image recovery by convex combinations of projections [J]. J Math Anal Appl, 1991,155:413 -419.
  • 3KITAHARS S, TAKAHASHI W. Image recovery by convex combinations for sunny nonexpansive retractions [J]. Topol Methods Nonlinear Anal, 1993(2): 333 - 342.
  • 4TAKAHASHI W, TAMURA T. Limit theorems of operators by convex combinations for nonexp-ansive retractions in Banach spaces [J]. J Approximation Theiry, 1997, 91:386 - 397.
  • 5KIRK W A. A fixed point theorem for mappings which do not increase distances [J]. Amer Math Monthly, 1965, 72:1004 - 1006.
  • 6OPIAL Z. Weak convergence of the sequence of successive approximations for nonexpansive mappings [J ]. Bull Amer Math Soc,1967, 73:591 - 597.
  • 7REISH S. Weak convergence theorems for nonexpansive mappings in Banach spaces [J]. J Math Anal Appl, 1979, 67:274 - 276.
  • 8SCHU J. Weak and strong convergence to fixed points of asymptotically nonexpansive mappings[J]. Bull Austral Math Soc,1991, 43:153- 159.
  • 9CHIDUME C E,OSILIKE M O.Nonlinear accretive and pseudo-contractive operator equations in Banach spaces[J].Nonl Anal,1998,31:779-789.
  • 10KATO T.Nonlinear semigroups and evolution equation[J].J Math Soc Japan,1964,19:508-520.

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