A new iterative scheme for numerical reckoning fixed points of Suzuki’s generalized nonexpansive mappings

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摘要

In this paper, we propose a new iterative algorithm to approximate fixed point of Suzuki’s generalized nonexpansive mappings. We establish some weak and strong convergence theorems in a uniformly convex Banach space. We also provide examples to illustrate the convergence behavior of the proposed algorithm.

论文关键词:Suzuki-generalized nonexpansive mappings,Fixed points,Convergence theorem,Uniformly convex Banach space

论文评审过程:Received 6 April 2015, Revised 16 November 2015, Accepted 22 November 2015, Available online 17 December 2015, Version of Record 17 December 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.11.065