%0 Journal Article %T Attractive points and convergence theorems of generalized hybrid mapping %A Zheng, Yuchun %J Journal of Nonlinear Sciences and Applications %D 2015 %V 8 %N 4 %@ ISSN 2008-1901 %F Zheng2015 %X In this paper, by means of the concept of attractive points of a nonlinear mapping, we prove strong convergence theorem of the Ishikawa iteration for an (\(\alpha,\beta\))-generalized hybrid mapping in a uniformly convex Banach space, and obtain weak convergence theorem of the Ishikawa iteration for such a mapping in a Hilbert space. %9 journal article %R 10.22436/jnsa.008.04.08 %U http://dx.doi.org/10.22436/jnsa.008.04.08 %P 354--362