The author studies an asymptotic behavior at infinity of the solutions of the nonlinear Volterra equation
where , ; ; ; , and Here is an accretive operator in real reflexive Banach space . Basing on the mean point, the weak and strong convergences for the “unbounded behavior” of solutions are given. The case was earlier considered from this point of view by W. Takahashi [J. Math. Anal. Appl. 109, 130-139 (1985; Zbl 0593.47057)].