## Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces.(English)Zbl 1137.47053

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.

### MSC:

 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc. 47H10 Fixed-point theorems
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### References:

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