Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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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.

S-iteration process for asymptotic pointwise nonexpansive mappings in complete hyperbolic metric spaces

Thikamporn Atsathi, Prasit Cholamjiak, Suparat Kesornprom, and Autchara Prasong

University of Phayao, University of Phayao, University of Phayao, University of Phayao

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

MSC numbers: Primary 47H10, 54H25