The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to a fixed point of the generalized multivalued nonexpansive mapping. Our results extend and improve some recent results.
Zhanfei Zuo. "Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces." J. Appl. Math. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/235120