Pure injectivity in finitely accessible categories

In this study, we investigate pure injectivity in the category of all additivecontravariant functors from the set of all isomorphism classes of finitely presentableobjects of an additive finitely accessible category to the category ofAbelian groups. We demonstrate that endomorphism ring of any pure injectiveobject in an additive finitely accessible category is cotorsion.Additive finitely accessible categories do not need to be complete. However,we show that these categories always quasi-complete by defining a new conceptnamely, quasi-limits of functors. In addition, we prove that every additive nitelyaccessible category has a cogenerator. Finally, we prove that any flat functor maybe purely embedded in a quasi-limit of indecomposable pure injective functors.