Strong Convergence Theorems for Total Asymptotically Non-expansive Mappings and Infinite Family of Non-expansive Mappings
Xian-Cai Lei · Journal of Sichuan Normal University · 2013
In this paper,the Mainge and Moudafi's iteration is improved in a real Hilbert space.A new iterative algorithm involving total asymptotical nonexpansive mappings and an infinite family of nonexpansive mappings are proposed.The strong convergence of the algorithm is studied for solving the common fixed point of the hierarchical fixed point problems.Under suitable appropriate conditions,some strong convergence theorem are proved.The results improve and extend some of the latest results.