We show that the xed points set of a Suzuki-generalized nonexpansive self-mapping on a nonempty convex subset of a strictly convex metric space is always closed and convex. Moreover, we prove that the xed points set of such a self-mapping on a nonempty bounded closed convex subset of a uniformly convex complete metric space is always nonempty, closed and convex. Our results improve and extend some results in the literature.
