Iterative Approximation of Set Sequences of Fixed Point Set for a Kind of Nonlinear Mapping
Liping Yang · Journal of Guangdong University of Technology · 2004
Let B be a 2-uniformly convex Banach space,C be a nonempty closed convex subset of B,and T be the fifth nonexpansive mapping. The structure of its fixed point set F(T) and the iterative approximation of its set sequences are discussed,It proves that F(T) is a nonempty closed convex set.This paper generalizes and extends some of Browder's, Petryshyn's and Singh's results.