and Applied Analysis 3 We know that T is pseudocontractive if and only if T satisfies the condition Tx − Ty  2 ≤ x − y  2 + (I − T)x − (I − T)y  2 (15) for all x, y ∈ C. Since u ∈ Fix(T), we have from (15) that ‖Tx − u‖ 2 ≤ ‖x − u‖ 2 + ‖x − Tx‖ 2 , (16) for all x ∈ C. By using (13) and (16), we obtain Tyn − u  2 ≤ yn − u  2 + yn − Tyn  2 = (1 − γn)xn + γnT...