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Let $X$ be a reflexive Banach space which has a weakly sequentially continuous duality mapping. In this paper, we consider the following viscosity approximation sequence $x_{n}=\lambda_{n}f(x_{n})+(1-\lambda_{n})T_{n}x_{n}$, where $\lambda_{n} \in (0, 1), {T_{n}}$ is a uniformly asymptotically regular sequence, and $f$ is a weakly contractive mapping. Strong convergence of the sequence $\{x_{n}\}$ is proved.
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