Implicit iteration process for common fixed points of an infinite family of strictly pseudocontractive mappings in Banach spaces
Commun. Korean Math. Soc. 2010 Vol. 25, No. 4, 571-581
https://doi.org/10.4134/CKMS.2010.25.4.571
Printed December 1, 2010
Shih-sen Chang, Yeol Je Cho, and Jong Kyu Kim
Yibin University, Gyeongsang National University, Kyungnam University
Abstract : Some convergence theorems for approximating to a common fixed point of an infinite family of strictly pseudocontractive mappings of Browder-Petryshyn type are proved in the setting of Banach spaces by using a new composite implicit iterative process with errors. The results presented in the paper generalize and improve the main results of Bai and Kim \cite{1}, Gu \cite{4}, Osilike \cite{5}, Su and Li \cite{7}, and Xu and Ori \cite{8}.
Keywords : strictly pseudocontractive mapping of Browder-Petryshyn type, implicit iteration process with errors, common fixed point
MSC numbers : 47H02, 60H25
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