Common fixed points of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space

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摘要

In this paper, we introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for the new two-step iterative scheme in a uniformly convex Banach space.

论文关键词：47H10,47H09,46B20,Asymptotically nonexpansive nonself-mapping,Weak and strong convergence,Completely continuous,Opial’s condition,Common fixed points

论文评审过程：Received 7 January 2008, Revised 29 May 2008, Available online 6 June 2008.

论文官网地址：https://doi.org/10.1016/j.cam.2008.05.051