Let C be a nonempty subset of a normed space. An operator T: is called
(i) hemicontractive, if for and
(ii) generalized contractive, if , , , , for x,y,
The author proves theorems on convergence of the sequence of Ishikawa iterates in the case where T is continuously mapping a compact and convex subset C of a Hilbert space into itself, and satisfied either (i) or (ii).