Mann Type Implicit Iteration Approximation for Multivalued Mappings in Banach Spaces
Huimin He, Sanyang Liu, Rudong Chen · Fixed Point Theory and Applications · 2010
Abstract Let "Equation missing" be a nonempty compact convex subset of a uniformly convex Banach space "Equation missing" and let"Equation missing" be a multivalued nonexpansive mapping. For the implicit iterates "Equation missing", "Equation missing", "Equation missing", "Equation missing". We proved that "Equation missing" converges strongly to a fixed point of "Equation missing" under some suitable conditions. Our results extended corresponding ones and revised a gap in the work of Panyanak (2007).