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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 67, 2018 - Issue 6
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Original Articles

Strong convergence theorems of an iterative scheme for strictly pseudocontractive mappings in Banach spaces

Pages 855-863 | Received 19 Jun 2017, Accepted 22 Dec 2017, Published online: 24 Jan 2018

References

  • Browder FE , Petryshyn WV . Construction of fixed points nonlinear mappings in Hilbert space. J Math Anal Appl. 1967;20:197–228.
  • Scherzer O . Convergence criteria of iterative methods based on Landweber iteration for solving nonliner problems. J Math Anal Appl. 1991;194:911–933.
  • Hicks TL , Kubicek JD . On the Mann iteration process in a Hilbert spaces. J Math Anal Appl. 1997;59:498–504.
  • Osilike MO , Shehu Y . Cyclic algorithm for common fixed points of finite family of strictly pseudocontractive mappings of Browder-Petryshyn type. Nonlinear Anal. 2009;70:3575–3583.
  • Boonchari D , Saejung S . Weak and strong convergence theorems of an implicit iteration for a countable family of continuous pseudocontractive mappings. J Comput Appl Math. 2009;233:1108–1116.
  • Rhoades BE . Comments on two fixed point iteration methods. J Math Anal Appl. 1976;56:741–750.
  • Rhoades BE . Fixed point iterations using infinite matrices. Trans Amer Math Soc. 1974;196:161–176.
  • Osilike MO , Udomene A . Demiclosedness principle and convergence results for strictly pseudocontractive mappings of Browder--Petryshyn type. J Math Anal Appl. 2001;256:431–445.
  • Acedo GL , Xu H-K . Iterative methods for strict pseudo-contractions in Hilbert spaces. Nonlinear Anal. 2007;67:2258–2271.
  • Zeng LC , Wong NC , Yao JC . Strong convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type. Taiwan J Math. 2006;10(4):837–849.
  • Alber YaI , Ryazantseva I . Nonlinear ill-posed problems of monotone type. Dordrecht: Spinger; 2006.
  • Liu LS . Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces. J Math Anal Appl. 1995;194:114–125.
  • Xu Y . Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive operator equations. J Math Anal Appl. 1998;224:91–101.
  • Liu QH . Iterative sequences for asymptotically quasi-nonexpansive mapping with error members. J Math Anal Appl. 2001;259:18–24.
  • Tan KK , Xu HK . Approximating fixed points of nonexpansive by the Ishikawa iteration process. J Math Anal Appl. 1993;178:301–308.

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