Strong Convergence Theorem of a Finite Family of Nonexpansive Non-self Mappings
Feng Gu · 2008
Let E be a real uniformly convex Banach space and C be a nonempty closed convex subset of E which is also a nonexpansive retract of E.Let {Ti}i=1 N:C→E be N asymptotically quasi-nonexpansive non-self mappings.A new iterative sequence {xn} is defined.The paper also proves that if F(T)=∩i=1N F(Ti)≠Φ and let there exist an Tl,1≤l≤N,which is semi-compact,then the sequence {xn}converges strongly to some common fixed point of {Ti}i=1 N.The results presented in this paper also extend and improve some recent results.