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dc.contributor.authorAttapol Kaewkhaoen_US
dc.contributor.authorBancha Panyanaken_US
dc.contributor.authorSuthep Suantaien_US
dc.description.abstract© 2015, Kaewkhao et al. A complete CAT(0) space X is said to have the nice projection property (property N for short) if its metric projection onto a geodesic segment preserves points on each geodesic segment, that is, for any geodesic segment L in X and x,y∈X, m∈[x,y] implies (Formula presented.), where P<inf>L</inf> denotes the metric projection from X onto L. In this paper, we prove a strong convergence theorem of a two-step viscosity iteration method for nonexpansive mappings in CAT(0) spaces without the condition on the property N. Our result gives an affirmative answer to a problem raised by Piatek (Numer. Funct. Anal. Optim. 34:1245-1264, 2013).en_US
dc.titleViscosity iteration method in CAT(0) spaces without the nice projection propertyen_US
article.title.sourcetitleJournal of Inequalities and Applicationsen_US
article.volume2015en_US Mai Universityen_US
Appears in Collections:CMUL: Journal Articles

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