Weak and Strong Convergence of a Two-Step Iterations for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings
Keywords:
Generalized asymptotically quasi-nonexpansive mapping, Mann-type iteration, Ishikawa-type iteration, Uniformly convex Banach space, Common fixed pointAbstract
In this paper, we introduce and study a new two-step iterative scheme to approximate common fixed points for a finite family of generalized asymptotically quasi-nonexpansive mappings. We establish several strong and weak convergence results of the proposed algorithm in Banach spaces. These results generalize and refine many known results in the current literature.
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