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两个有限族一致L-Lipschitz映象的平行迭代算法的强收敛定理 被引量:12

Strong Convergence Theorems of a Parallel Iterative Algorithm for Two Finite Families of Uniformly L-Lipschitzian Mappings
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摘要 在Banach空间的框架下,对两个有限族一致L-Lipschitz映象引入了一个新的平行迭代算法,并在适当的条件下,证明了该迭代算法强收敛于这两族映象的公共不动点.结果是新的,它推广和改进了一些人的最新结果. In this paper,a new parallel iterative algorithm for two finite families of uniformly L-Lipschitzian mappings is introduced.By using the iterative algorithm, under suitable conditions,some strong convergence theorems to approximating a common fixed point for two finite families of uniformly L-Lipschitzian mappings in the framework of Banach spaces are proved.The results presented in the paper are new which improve and extend the recent results of several authors.
作者 谷峰
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2010年第6期1209-1216,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(11071169) 浙江省自然科学基金资助项目(Y605191)
关键词 渐进伪压缩映象 平行迭代算法 一致L-Lipschitzian映象 asymptotically pseudo-contractive mapping parallel iterative algorithm uniformly L-Lipschitzian mapping
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参考文献13

  • 1Gobel K., Kirk W. A., A fixed points theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc., 1972, 35(1): 171-174. 被引量:1
  • 2Schu J., Iterative construction of fixed point of asymptotically nonexpansive mappings, J. Math. Anal. Appl., 1991, 158(2): 407-413. 被引量:1
  • 3Chang S. S., Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings, Proc. Amer. Marth. Soc., 2001, 129(3): 845-853. 被引量:1
  • 4Ofoedu E. U., Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in a real Banach space, J. Math. Anal. Appl., 2006, 321(2): 722-728. 被引量:1
  • 5Cho Y. J., Kang J. I., Zhou H. Y., Approximating common fixed points of asymptotically nonexpansive mappings, Bull. Korean Math. Soc., 2005, 42(4): 661-670. 被引量:1
  • 6Moore C., Nnoli B. V., lterative solution of nonlinear equations involving set-valued uniformly accretive operators, Comput. Ma$h. Appl., 2001, 42(1): 131-140. 被引量:1
  • 7Zeng L. C., On the iterative approximation for asymptotically pseudo-contractive mappings in uniformly smooth Banach spaces, Chinese Math. Ann., 2005, 26(2): 283-290 (in Chinese). 被引量:1
  • 8Zeng L. C., On the approximation of fixed points for asymptotically nonexpansive mappings in Banach spaces, Acta Math. Sci., 2003, 23(1): 31-37 (in Chinese). 被引量:1
  • 9Gu F., Some results for a finite family of uniformly L-Lipschitzian mappings in Banach spaces, Positivity, 2008, 12(3): 503-509. 被引量:1
  • 10Zhang S. S., Li X. R., Chen Z. J., On the problem of nearest common fixed point of nonexpansive mappings in Hilbert, Acta Mathematica Sinica, Chinese Series, 2006, 49(6): 1297-1302 (in Chinese). 被引量:1

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