%0 Journal Article %T Strong convergence of Krasnoselski-Mann iteration for a countable family of asymptotically nonexpansive mappings in CAT(0) spaces %A Qian, Shanguang %A Deng, Wei-Qi %J Journal of Nonlinear Sciences and Applications %D 2017 %V 10 %N 4 %@ ISSN 2008-1901 %F Qian2017 %X Based on a specific way of choosing the indices and a new concept, namely, an analogue of inner product, a modified Krasnoselski-Mann iteration scheme is proposed for approximating common fixed points of a countable family of asymptotically nonexpansive mappings; and a strong convergence theorem is established in the framework of CAT(0) spaces. Our results greatly improve and extend those of the authors whose related researches just involve a single mapping and the weaker \(\Delta\)-convergence. %9 journal article %R 10.22436/jnsa.010.04.04 %U http://dx.doi.org/10.22436/jnsa.010.04.04 %P 1326--1333