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...
