JOURNAL OF SCIENCE AND ARTS, sa.2, ss.413-420, 2023 (ESCI)
In this paper, we will discuss the weak stability of epsilon-isometries on certain Banach spaces. Let f: X -> Y be a standard epsilon-isometry. If Y* is strictly convex, then for any x* is an element of X*, there is phi is an element of Y* that satisfies parallel to phi parallel to r = parallel to x*parallel to, such that vertical bar < x*, x > -