Common Fixed Points of a Subfamily of a Nonexpansive Periodic Evolution Family on a Strictly Convex Banach Space

Abstract

In this study, we establish some results for strong convergence of a sequence to a common fixed point of a subfamily of a nonexpansive and periodic evolution family of bounded linear operators acting on a closed and bounded subset $\mathfrak{J}$ of a strictly convex Banach space $\mathfrak{X}$ . In fact, we generalized the results from semigroups of the operator to an evolution family of operators.