Commun. Korean Math. Soc. 2016; 31(3): 575-583
Printed July 31, 2016
https://doi.org/10.4134/CKMS.c150199
Copyright © The Korean Mathematical Society.
Thikamporn Atsathi, Prasit Cholamjiak, Suparat Kesornprom, and Autchara Prasong
University of Phayao, University of Phayao, University of Phayao, University of Phayao
In this paper, we study the modified S-iteration process for asymptotic pointwise nonexpansive mappings in a uniformly convex hyperbolic metric space. We then prove the convergence of the sequence generated by the modified S-iteration process.
Keywords: asymptotic pointwise nonexpansive mapping, fixed point, S-iteration process, uniformly convex metric space, uniformly Lipschitzian mapping
MSC numbers: Primary 47H10, 54H25
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