Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces (Q2474912)

The paper gives significant generalizations of results concerning a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings. The authors establish a necessary and sufficient condition for the convergence of the iteration scheme to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings in a Banach space. They also prove weak and strong convergence results for the iteration scheme to a common fixed point of a finite family of \(\left(L-\gamma\right)\) uniform Lipschitz and asymptotically quasi-nonexpansive mappings in uniformly convex Banach spaces.