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Strong convergence of modified Ishikawa iteration for two relatively nonexpansive mappings in a Banach space

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In this paper, we prove a strong convergence theorem for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the modified Ishikawa iteration method. Our results improved and extend the corresponding results announced by many others.

Abstract

In this paper, we prove a strong convergence theorem for a common fixed point of two relatively nonexpansive mappings in a Banach space by using the modified Ishikawa iteration method. Our results improved and extend the corresponding results announced by many others.

참고문헌 (13)

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  9. K. Nakajo, "W. Takahashi,Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups", .Math.Anal. Appl, 279, pp.372~379 (2003)
  10. M.Y. Carlos, "H.K. Xu,Strong convergence of the CQ method for xed point iteration processes", Nonlinear Anal, 64, pp.2400~2411 (2006)
  11. X.L.Qin, "Strong convergence theorems for relatively nonexpansive mappings in a Banach space", Nonlinear Anal, 67, pp.1958~1965 (2007)
  12. Ya.I. Alber, "An iterative method for solving a class of nonlinear operator equa-tions in Banach spaces", Panamer. Math.J, 4, pp.39~54 (1994)
  13. H.K.Xu, "Inequalities in Banach spaces with applications", Nonlinear Anal, 16, pp.1127~1138 (1991)

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