Strong convergence theorems for nonexpansive semi-groups in Banach spaces. (English) Zbl 1231.47060
Summary: Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the corresponding results of Shioji-Takahashi, Suzuki, Xu and Aleyner-Reich, but also give a partially affirmative answer to the open questions raised by Suzuki and Xu.
Keywords:
nonexpansive semi-group; demi-closed principle; common fixed point; uniformly smooth Banach space; weakly continuous normalized duality mappingReferences:
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