Composite Halpern iteration for approximating fixed points of nonexpansive mappings
Xiaolong Qin · Tianjin Gongye Daxue xuebao · 2006
According to the problems of the approximation for fixed points of nonexpansive mappings,the three step composite Halpern iteration scheme is presented for fixed points of nonex pansive mappings,and the strong convergence theorems for fixed points of nonexpansive mappings are proved in the uniformly smooth Banach spaces.The results improve and extend the research of Halpern,Lions,Riech,Xu,Wittmann and some others.