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Banach空间中两类压缩映射的迭代逼近 被引量:1

Iterative Approximation of Two Contractive Mappings in Banach Space
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摘要 讨论了Banach空间中拟压缩映射和广义压缩映射的具误差的Ishikawa迭代序列的收敛性,得出了在一定条件下,这两类压缩映射分别强收敛于它们的不动点.这些结论推广和发展了已有的相关结果,使这些结果的适用范围更广. This paper discussed the convergence of Ishikawa iterative processes with errors for quasi-cont,'active mapping and generalized contractive mapping in Banach space. It was proved that under certain conditions the iterative sequences converge strongly to the fixed points of these two contractive mappings, respectiyely. The authors generalized and developed some results in the same kind and expanded the applied scope of these results.
作者 刘桂霞 姚力
出处 《大学数学》 北大核心 2006年第6期48-52,共5页 College Mathematics
关键词 拟压缩映射 广义压缩映射 一致光滑BANACH空间 具误差的Ishikawa迭代 quasl-contractive mapping generalized contractive mapping uniformly smooth Banach space Ishikawa iterative processes with errors
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参考文献7

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同被引文献7

  • 1谷峰.赋范空间中渐进一致Ф-伪压缩型映象不动点的迭代逼近[J].数学的实践与认识,2006,36(3):282-287. 被引量:3
  • 2Ishikawa.S.Fixed point by a new iteration method[J].Proc Amer Math Soc,1974,14(1):147-150.
  • 3Lin Li-shan.Ishikawa-type and Mann-type iterative process with errors for constructing solutions of nonlinear equations involving m-accretive opera to r in Banach space[J].Nonlinear Analysis,1998,34:307-317.
  • 4S S Chang.On Chidume's open questions and approximations of multi-valued strongly mappings equation in Banach Spaces[J] J Math Anal Appl,1997(216):94-111.
  • 5Browder F E.Nonlinear mappings of nonexpansive and accretive type in Banach spaces[J].Bull Amer Math Soc,1967,73:875-882.
  • 6L.S.LIU,Ishikawa and Mann.Iterative process with errors for nonlionear strongly accrefve mappings in Banach spaces[J].Math.Anal.,1995,194:114-125.
  • 7王兵.赋范空间中有限个渐近一致φ-伪压缩映象公共不动点的迭代逼近[J].重庆工商大学学报(自然科学版),2009,26(5):434-436. 被引量:2

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