Convergence of Iterative Algorithm with an Asymptotically Nonexpansive Mapping under a Class of New Assumptions
Huang Jia-lin · Journal of Southwest University · 2011
A new assumption Ф≠F(T)=F(T2)=…=F(Tn)=… is originally introduced,where F(T) is the fixed point set of an asymptotically nonexpansive mapping T.The sufficient conditions for the iterative sequence strongly converging to a fixed point of T are obtained in Banach spaces.