Existence and uniqueness as well as the iterative approximation of fixed points of enriched almost contractions in Banach spaces are studied. The obtained results are generalizations of the great majority of metric fixed point theorems, in the setting of a Banach space. The main tool used in the investigations is to work with the averaged operator $T_\lambda$ instead of the original operator $T$. The effectiveness of the new results thus derived is illustrated by appropriate examples. An application of the strong convergence theorems to solving a variational inequality is also presented.

翻译：研究了Banach空间中丰富几乎收缩的固定点的存在和独特性以及固定点的迭接近似值,研究的结果是,在设置Banach空间时,对绝大多数的衡量固定点理论作了概括,调查使用的主要工具是同平均操作员合作,而不是与原操作员合作,用美元来取代原操作员,用适当的例子来说明由此得出的新结果的有效性,还介绍了在解决差异性不平等方面采用强烈趋同理论的情况。