Strong convergence of approximated sequences for asympoticaiiy nonexpansive type mapping with sequence of number in banach spaces
Hong Li · Journal of Nanchang University · 2011
The modified Ishikawa Reich-Takahashi Iterative sequances for asymptotically nonexpansive type mapping T with sequence of number were discussed,which had a strong convergence for the fixed point of T.The sufficient conditions of the existence of fixed point of T and some sequences Sm(y)=(1-αm)x+αmTmy converging to a fixed point of T were derived,with D being an nonempty closed convex subset of a Banach space E,x,y∈D,αm∈ and αm→1.The outcome improved and extended some recent results.