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Commun. Korean Math. Soc. 2014; 29(1): 83-95
Printed January 31, 2014
https://doi.org/10.4134/CKMS.2014.29.1.83
Copyright © The Korean Mathematical Society.
Convergence of modified multi-step iterative for a finite family of asymptotically quasi-nonexpansive mappings
Juan Xiao, Lei Deng, and Ming-ge Yang
Southwest University, Southwest University, Luoyang Normal University
In a uniformly convex Banach space, we introduce a iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings and utilize a new inequality to prove several convergence results for the iterative sequence. The results generalize and unify many important known results of relevant scholars.
Keywords: uniformly convex Banach space, fixed point, asymptotically nonexpansive mapping, asymptotically quasi-nonexpansive mapping
MSC numbers: 47H10, 26A18
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