Strong convergence of modified hybrid algorithm for quasi-{$\phi$}-asymptotically nonexpansive mappings
Commun. Korean Math. Soc. 2009 Vol. 24, No. 4, 539-551
https://doi.org/10.4134/CKMS.2009.24.4.539
Printed December 1, 2009
Huancheng Zhang and Yongfu Su
Tianjin Polytechnic University and Tianjin Polytechnic University
Abstract : In this paper, we propose a modified hybrid algorithm and prove strong convergence theorems for a family of quasi-$\phi$-asymptotically nonexpansive mappings. Our results extend and improve the results by Nakajo, Takahashi, Kim, Xu, Su and some others.
Keywords : hybrid algorithm, quasi-$\phi$-asymptotically nonexpansive, strong convergence, generalized projection
MSC numbers : 47H05, 47H09, 47H10
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