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AN IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF STRONGLY PSEUDOCONTRACTIVE MAPPINGS

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초록

The purpose of this paper is to establish a strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of continuous strongly pseudocontractive mappings. The results presented in this paper extend and improve the corresponding results of References [2, 6, 11-12].

Abstract

The purpose of this paper is to establish a strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of continuous strongly pseudocontractive mappings. The results presented in this paper extend and improve the corresponding results of References [2, 6, 11-12].

참고문헌 (12)

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  2. C. E. Chidume, "Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings", Nonlinear Anal. (TMA), 62, pp.1149~1156 (2005)
  3. K. Deimling, "Zero of accretive operators", Manuscripta Math, 13, pp.365~374 (1974)
  4. B. Halper, "Fixed points of nonexpansive maps", Bull. Amer. Math. Soc, 73, pp.957~961 (1967)
  5. P. L. Lions, "Approximations de points fixes de contractions", C. R. Acad. Sci. Paris Ser.A, 284, pp.1357~1359 (1977)
  6. M. O. Osilike, "Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps", J. Math. Anal. Appl, 294(1), pp.73~81 (2004)
  7. S. Reich, "Strong convergence theorems for resolvents of accretive operators in Banach spaces", J. Math. Anal. Appl, 75, pp.287~292 (1980)
  8. X. Weng, "Fixed point iteration for local strictly pseudocontractive mappings", Proc.Amer. Math. Soc, 113(3), pp.727~731 (1991)
  9. R. Wittmann, "Approximation of fixed points of nonexpansive mappings", Arch. Math, 58, pp.399~404 (1992)
  10. H. K. Xu, "Inequalities in Banach spaces with applications", Nonlinear Anal. (TMA), 16(12), pp.1127~1138 (1991)
  11. H. K. Xu, "An implicit iterative process for nonexpansive mappings", Numer.Funct. Anal. Optim, 22, pp.767~773 (2001)
  12. Y. Zhou, "Convergence of implicit iteration process for a finite family of asymptotically nonexpansive mappings in Banach spaces", Numer. Funct. Anal. Appl, 23, pp.911~921 (2002)

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