Approximation of Common Fixed Points for Finite Families of Generalized Asymptotically Quasi-Nonexpansive Mappings
Lei Deng · Journal of Southwest University · 2010
Let C be a nonempty closed convex subset of a Banach space E,{Ti}ki=1 is a finite family of generalized asymptotically quasi-nonexpansive mappings of C into itself,f is a fixed contractive mapping,and Wn is a modified W-mapping.We introduce an iterative method defined by xn+1=λnf(xn)+(1-λn)Wn,and prove that the iterative sequence {xn} converges strongly to a common fixed point of T1,T2,…,Tk.