Convergence results of multi-valued nonexpansive mappings in Banach spaces
Huimin He, Sanyang Liu, Rudong Chen · Journal of Inequalities and Applications · 2014
The purpose of this paper is to establish two new iteration schemes as follows: , , , , , , for a multi-valued nonexpansive mapping T in a uniformly convex Banach space and prove that and converge strongly to a fixed point of T under some suitable conditions, respectively. Moreover, a gap in Sahu (Nonlinear Anal. 37:401-407, 1999) is found and revised. MSC:47H04, 47H10, 47J25.