Strong Convergence of the Composite Halpern Iteration for Nonexpansive Mappings
Rudong Chen · Acta Analysis Functionalis Applicata · 2011
The aim of this article is to proof strong convergence of the composite halpern type iteration for a non-expansive mapping defined on a Banach space with a uniformly Gateaux differentiable norm.We don't need the implicit anchor-like continuous path z_t in the proof.Our method is simpler and the condition is weaker than Qin,et al.