A Note on the Paper “The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings”

Journal of Optimization Theory and Applications, Apr 2017

In this note we correct an error in the paper (Ariza-Ruiz et al. in J Optim Theory Appl 167:409–429, 2015).

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A Note on the Paper “The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings”

A Note on the Paper “The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings” David Ariza-Ruiz 0 1 Genaro López-Acedo 0 1 Adriana Nicolae 0 1 0 Department of Mathematics, Babes ̧-Bolyai University , Koga ̆lniceanu 1, 400084 Cluj-Napoca , Romania 1 Departamento de Análisis Matemático, Universidad de Sevilla, Apdo. 1160, 41080 Sevilla , Spain In this note we correct an error in the paper (Ariza-Ruiz et al. in J Optim Theory Appl 167:409-429, 2015). Adriana Nicolae In [1; Lemma 2; 2; p; 413]; as well as in [1; Definition 2; 3; p; 414]; the condition l ≥ 0 (resp; l > 0) should be replaced by l ≥ 1 1. Ariza-Ruiz , D. , López-Acedo , G. , Nicolae , A. : The asymptotic behavior of the composition of firmly nonexpansive mappings . J. Optim. Theory Appl . 167 , 409 - 429 ( 2015 ) (...truncated)


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David Ariza-Ruiz, Genaro López-Acedo, Adriana Nicolae. A Note on the Paper “The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings”, Journal of Optimization Theory and Applications, 2017, pp. 1, DOI: 10.1007/s10957-017-1105-4