A product topology and strong convergence scheme for finding common fixed points of a family of nonexpansive semigroup

Abstract

In this paper, we consider the product space Eˡ with the product topology generated by the strong topologies on E for each i ∈ I and using a family of nonexpansive semigroup in a product spaces Eˡ, where E is a real strictly convex and reflexive smooth Banach space and I is a nonempty set. And also, we introduce an algorithm in the product space EI consisting of all functions from I to E and prove the convergence theorem of the proposed algorithms.