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Banach空间中一族伪压缩映象的收敛性定理 被引量:1

Convergence Theorems of Common Fixed Points for Pseudocontractive Mappings in Banach Space
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摘要 在Banach空间中讨论了一族伪压缩映象带混合误差项的公共不动点的显迭代格式的逼近问题,得到两个收敛性定理,改进和推广了现有文献的一些相应结果. The paper considers an explicit iterative process with mixed errors for a finite family of pseudocontractive mappings in the framework of Banach spaces, and obtains two convergence theorems. The results have improved and extended the recent ones announced by many others
出处 《杭州师范大学学报(自然科学版)》 CAS 2009年第3期184-188,共5页 Journal of Hangzhou Normal University(Natural Science Edition)
基金 国家自然科学基金项目(10771141) 杭州师范大学研究生教改项目
关键词 伪压缩映象 显迭代格式 混合误差项 公共不动点 pseudocontractive mappings explicit iterative process mixed errors common fixed point
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参考文献8

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同被引文献9

  • 1路慧芹.半序线性空间中非单调算子不动点的存在性和唯一性[J].山东师范大学学报(自然科学版),2004,19(4):1-4. 被引量:3
  • 2MannW R. Mean value methods initeration[J]. Proc Amer Math Soc,1953(4) :506 -510.
  • 3Xu Yuguang. Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive operator equtions[J]. Math Anal Appl, 1998,224:91-101.
  • 4Halpern B. Fixed points of nonexpanding maps[J]. Bull Amer Math Soc,1967,73:957-961.
  • 5Rafiq A. Mann iterative scheme for nonlinear equations[J]. Mathematical Communications,2007,12:25-31.
  • 6Petryshyn W V. A characterization of strict convexity of banach spaces and other use of duality mappings[J]. J Funct Anal, 1970,6:282-291.
  • 7Moore C, Nnolib V C. Iterative solutions of nonlinear equations involving set-valued uniformly accretive operators[J]. Comput Math Appl, 2001,42 : 91-105.
  • 8傅秋平,谷峰.有限个渐进非扩张非自映象的强收敛定理[J].杭州师范大学学报(自然科学版),2008,7(3):172-176. 被引量:1
  • 9吕桂稳,薛志群.实Banach空间中带误差项的广义Mann迭代序列的收敛定理[J].河北师范大学学报(自然科学版),2009,33(5):585-588. 被引量:2

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