The purpose of this paper is to study modified Halpern type and Ishikawa type iteration for a semigroup of relatively nonexpansive mappings on a nonempty closed convex subset of a Banach space with respect to a sequence of asymptotically left invariant means defined on an appropriate invariant subspace of , where is a semigroup. We prove that, given some mild conditions, we can generate iterative sequences which converge strongly to a common element of the set of fixed points , where .
"Invariant Means and Reversible Semigroup of Relatively Nonexpansive Mappings in Banach Spaces." Abstr. Appl. Anal. 2014 (SI60) 1 - 9, 2014. https://doi.org/10.1155/2014/694783