Strong convergence to fixed points of an evolution subfamily

Abstract

In this manuscript, we give strong convergence results for a fixed point of a subfamily of an evolution family on a convex and closed subset $ \mathcal{D} $ of a Banach space $ \mathsf{B} $. An example is also provided which shows the applications of evolution families and our main results. At the end, an open problem is given.

Keywords

• non-expansive mappings
• strong convergence
• evolution family
• banach space