TY - JOUR AU - Zheng, Yuchun PY - 2015 TI - Attractive points and convergence theorems of generalized hybrid mapping JO - Journal of Nonlinear Sciences and Applications SP - 354--362 VL - 8 IS - 4 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.008.04.08 DO - 10.22436/jnsa.008.04.08 ID - Zheng2015 ER -