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http://dx.doi.org/10.4134/CKMS.c150199

S-ITERATION PROCESS FOR ASYMPTOTIC POINTWISE NONEXPANSIVE MAPPINGS IN COMPLETE HYPERBOLIC METRIC SPACES  

Atsathi, Thikamporn (School of Science University of Phayao)
Cholamjiak, Prasit (School of Science University of Phayao)
Kesornprom, Suparat (School of Science University of Phayao)
Prasong, Autchara (School of Science University of Phayao)
Publication Information
Communications of the Korean Mathematical Society / v.31, no.3, 2016 , pp. 575-583 More about this Journal
Abstract
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;
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