Attractive points and convergence theorems of generalized hybrid mapping
Yuchun Zheng · The Journal of Nonlinear Sciences and Applications · 2015
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.