Communications of the
Korean Mathematical Society
CKMS

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

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Commun. Korean Math. Soc. 2015; 30(3): 177-189

Printed July 31, 2015

https://doi.org/10.4134/CKMS.2015.30.3.177

Copyright © The Korean Mathematical Society.

Convergence theorems for a pair of asymptotically and multivalued nonexpansive mapping in CAT(0) spaces

Naknimit Akkasriworn and Kritsana Sokhuma

Rambhai Barni Rajabhat University, Muban Chom Bueng Rajabhat University

Abstract

In this paper, we prove $\triangle$-convergence theorems for Ishikawa iteration of asymptotically and multivalued nonexpansive mapping in CAT(0) spaces. This results we obtain are analogs of Banach spaces results of Sokhuma \cite{So}.

Keywords: asymptotically, multivalued nonexpansive, CAT(0) spaces

MSC numbers: 47H09, 47H10

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