Monotone Hybrid Method for Nonexpansive Mappings and Nonexpansive Semigroups

In Hilbert spaces,using monotone hybrid method,we modify an implicit iteration scheme introduced by J.Zhao et al.for a finite family nonexpansive mappings and a nonexpansive semigroup,and prove strong convergence theorems.Meanwhile,this method was applied to approximate zero-point of monotone operators and obtain strong convergence theorem.