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渐近非扩张映象迭代序列的收敛性 被引量:3

On the convergence of iterative sequence for asymptotically nonexpansive mappings
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摘要 用新方法研究了Banach空间中渐近非扩张映象不动点的迭代逼近问题,所得结果改进和发展了前人的结果。 It is proved by using new methods,some iterative approximation theorems of fixed point for asymptotically nonexpansive mappings was studied in Banach spaces. The results presented, which has improved and extended the corresponding results of Kirk-Gaehel, Rhoades, Huang, Schu and Xu.
出处 《西北大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第6期641-644,共4页 Journal of Northwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(19771058) 四川省教育厅自然科学重点科研项目(01LA70)
关键词 渐近非扩张映象 不动点 具误差的Ishikawa(Mann)迭代序列 Asymptotically nonexpansive mappings fixed point Ishikawa (Mann) iteration process with errors
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参考文献6

  • 1[1]GOEBEL K,KIRK W A. A fixed point theorem for asymaptotically nonexpansive mappings[J]. Proc Amer Math Soc, 1972,35(1): 171-174.
  • 2[2]HUANG Z Y. Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings [J ].Computers Math Appl, 1999, (7): 1-7.
  • 3[3]RHOADES B E. Fixed point iterations for certain nonlinear mappings[J]. J Math Anal Appl,1994,183(1 ):118-120.
  • 4[4]SCHU J. Iterative construction of fixed points of asymptotically nonerpansive mappings[J]. J Math Anal Appl, 1991, 158(2) :407-413.
  • 5[5]ZHANG S S. On Chidume's open questions and appraximate solutions of multivalued strongly accretive mapping equations in Banach spaces[J]. J Math Anal Appl,1997,216(1):94-111.
  • 6[6]XU H K. Inequalities in Banach spaces with applications[J]. Nonlinear Anal TMA,1991,16(12) :1 127-1 138.

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