In this paper, we shall first show that the iteration $\{x_n\}$ defined by \eqref{eqn:2} below converges weakly to a fixed point of $T$ when $E$ is a uniformly convex Banach space with Opial's condition, which generalizes the recent theorem due to Takahashi and Kim \cite{TakahashiKim}. Next, we show that the weak limit points of subsequences of the iteration $\{x_n\}$ defined by \eqref{eqn:3} are fixed points of $T$ (or $S$) when $E$ is a uniformly convex Banach space, which generalizes the recent theorem due to Takahashi and Tamura \cite{TakahashiTamura}.