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 J of a strictly convex Banach space X . In fact, we generalized the results from semigroups of the operator to an evolution family of operators.

Fixed Points and λ-Weak Contractions

“…Due to its simplicity and wide range of applications, this result was generalized in various ways. See, for example, book [2] and recent papers [3][4][5][6]. Definition 1.…”