中文摘要：

在Banach空间中建立了一种新的关于求广义拟变分包含解与渐近非扩张映射不动点的公共元素的迭代逼近算法，且在一定条件下证明了该迭代序列的强收敛性．结果改进和推广了现有的一些相关结果．

英文摘要：

A new iterative algorithm was established to approximate the common elements of solutions of generalized quasi-variational inclusions and fixed points of asymptotical nonexpansive mappings. Under certain conditions, some strong convergence theorems were obtained for the iterative sequence in Banach spaces. The results extended and improved some corresponding results reported by other authors.