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Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings

open access: yesFixed Point Theory and Applications, 2008
The purpose of this paper is to consider that a modified Halpern's iterative sequence converges strongly to a fixed point of nonexpansive mappings in Banach spaces which have a uniformly Gâteaux differentiable norm.
Hu Liang-Gen
doaj  

On Strong Convergence for Maxima

open access: yes, 2012
In the present paper, a generalization of the first part of the Borel-Cantelli lemma is obtained by the recent work of Balakrishnan and Stepanov (2010). This generalization is further applied to derive strong limit results for the sequence of maxima.
openaire   +2 more sources

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