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Strong Convergence of an Implicit Iteration Process for a Finite Family of Asymptotically Ф-pseudocontractive Mappings 被引量:1

Strong Convergence of an Implicit Iteration Process for a Finite Family of Asymptotically Ф-pseudocontractive Mappings
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摘要 Strong convergence theorems for approximation of common fixed points of asymptotically Ф-quasi-pseudocontractive mappings and asymptotically C-strictly- pseudocontractive mappings are proved in real Banach spaces by using a new composite implicit iteration scheme with errors. The results presented in this paper extend and improve the main results of Sun, Gu and Osilike published on J. Math. Anal. Appl. Strong convergence theorems for approximation of common fixed points of asymptotically Ф-quasi-pseudocontractive mappings and asymptotically C-strictly- pseudocontractive mappings are proved in real Banach spaces by using a new composite implicit iteration scheme with errors. The results presented in this paper extend and improve the main results of Sun, Gu and Osilike published on J. Math. Anal. Appl.
作者 王学武
出处 《Northeastern Mathematical Journal》 CSCD 2008年第4期300-310,共11页 东北数学(英文版)
基金 The SFEC(20051897)of Zhejiang Province,China.
关键词 asymptotically Ф-quasi-pseudocontractive asymptotically Ф-strictly- pseudocontractive implicit iteration scheme strong approximation common fixed point asymptotically Ф-quasi-pseudocontractive, asymptotically Ф-strictly- pseudocontractive, implicit iteration scheme, strong approximation common fixed point
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  • 1Gu,F.The new composite implicit iterative process with errors for common fixed points of a finite family of strictly pseudocontractive mappings[].Journal of Mathematical Analysis and Applications.2007
  • 2H_K XU,ORI R G.An implicit iteration process for nonexpansive mappings[].Numer Funct Anal Optim.2001
  • 3Sun Z H.Strong convergence of an implicit iteration process for a finite family of asymptotically quasj- nonexpansive mappings[].Journal of Mathematical Analysis and Applications.2003
  • 4OSILIKE M O.Implicit iteration process for common fixed points of a finite familyof strictly pseudocontractive maps[].Journal of Mathematical Analysis and Applications.2004
  • 5Chang S S.Some problems and results in the study of nonlinear analysis[].Nonlinear Analysis.1997
  • 6WANG X L.Fixed point iteration for local strictly pseudo-contractive mapping[].Proceedings of the American Mathematical Society.1991

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