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**A new composite general iterative scheme for nonexpansive semigroups in Banach spaces.**
*(English)*
Zbl 1221.47127

Summary: We introduce a new general composite iterative scheme for finding a common fixed point of nonexpansive semigroups in the framework of Banach spaces which admit a weakly continuous duality mapping. A strong convergence theorem of the proposed iterative approximation method is established under certain control conditions. Our results improve and extend those announced by many others.

### MSC:

47J25 | Iterative procedures involving nonlinear operators |

47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |

47H20 | Semigroups of nonlinear operators |

### Keywords:

composite iterative scheme; common fixed point; nonexpansive semigroups; Banach spaces; weakly continuous duality mapping; strong convergence
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\textit{P. Sunthrayuth} and \textit{P. Kumam}, Int. J. Math. Math. Sci. 2011, Article ID 560671, 18 p. (2011; Zbl 1221.47127)

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### References:

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