关于几类推广的非膨胀映像

In this note, we consider two kinds of map, generalized nonexpansive maps, and get following results.1 The map T: X→X, X weakly compact convex set in a Banach space, satisfying (1) and asymptotic normal condition, then there exist a fixed point in X.2 The map T:X→X is continuous and satisfies (2), where X is the same as, above, then r has an unigue fixed point in X.An example is given to show that the continuity can't be set aside;

On the Generalized Nonexpansive Maps