Strong convergence theorem for strict pseudo-contractions in Hilbert spaces

Journal of Inequalities and Applications(2016)

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摘要
In this paper, inspired by Hussain et al. (Fixed Point Theory Appl. 2015:17, 2015 ), we study a modified Mann method to approximate strongly fixed points of strict pseudo-contractive mappings. In (Hussain et al. in Fixed Point Theory Appl. 2015:17, 2015 ) it is shown that the same algorithm converges strongly to a fixed point of a nonexpansive mapping under suitable hypotheses on the coefficients. Here the assumptions on the coefficients are different, as well as the techniques of the proof.
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关键词
47J20,47J25,49J40,65J15,Mann’s iterations,strict pseudo-contractions mappings,variational inequalities,Mainge’s lemma
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