Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces

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作者
Tian You-xian
Yang Chun-de
机构
[1] Chongqing University of Posts and Telecommunications,Institute of Applied Mathematics
关键词
Nonexpansive Mapping; Common Fixed Point; Nonempty Closed Convex Subset; Convex Banach Space; Iterative Sequence;
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摘要
We consider a new Noor-type iterative procedure with errors for approximating the common fixed point of a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved for such iterative sequences involving a finite family of uniformly quasi-Lipschitzian mappings. The results presented in this paper extend, improve and unify some main results in previous work.
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