Strongly convergent net given by a fixed point theorem for firmly nonexpansive type mappings

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摘要

In this paper, using a fixed point theorem which was recently obtained by the authors for firmly nonexpansive type mappings, we prove a strong convergence theorem of Browder’s type in Banach spaces. Using our result, we study the approximation of zero points of monotone operators in Banach spaces.

论文关键词:Firmly nonexpansive mapping,Firmly nonexpansive type mapping,Fixed point theorem,Resolvent of monotone operator

论文评审过程:Available online 25 March 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.03.019