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Generalized three-step iteration schemes and common fixed points of three asymptotically quasi-nonexpansive mappings

Rashwan R., Hakim A.

Demonstratio Mathematica

2008

Vol. 41, nr 4

895-908

In this paper, we study strong convergence theorems for a generalized three-step iterative scheme with errors to approximate common fixed points of three asymptotically quasi-nonexpansive mappings in real Banach spaces. Our results generalize and improve upon the corresponding results in [1], [2], [3], [4], [5], [6], [7], [9], [13] and [16]. As an application of our results, we give and prove strong convergence theorems in uniformly convex Banach spaces.