一类渐近非扩张映射不动点的粘滞逼近方法

摘要

研究了一类渐近非扩张映射不动点问题的迭代算法。通过利用粘滞逼近方法及渐进非扩张映射，在具有一致凸的Banach空间中获得了新的迭代序列，并且证明了该迭代序列的强收敛性。%In this paper, we study the iterative method for approximating the fixed point of asymptotically nonexpansive mappings. By using the viscous approximation method, the strong convergence of the iterative sequence is obtained in a real uniformly convex Banach space.