Strong convergence theorems by hybrid methods for semigroups of not necessarily continuous mappings in Hilbert spaces

Abstract

In this paper, we prove strong convergence theorems by two hybrid methods for semigroups of not necessarily continuous mappings in Hilbert spaces. Using these results, we prove strong convergence theorems for discrete semigroups generated by generalized hybrid mappings and semigroups of nonexpansive mappings in Hilbert spaces.