Convergence of a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications

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Abstract

In this paper, we introduce the iterative scheme due to Khan, Domlo and Fukhar-ud-din (2008) [8] in convex metric spaces and establish strong convergence of this scheme to a unique common fixed point of a finite family of asymptotically quasi-nonexpansive mappings. As a consequence of our result, we obtain some related convergence theorems. Our results generalize some recent results obtained in [8].

Keywords

Asymptotically quasi-nonexpansive
Common fixed point
General iterative scheme
Convex metric spaces

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