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The asymptotic behavior of the composition of firmly nonexpansive mappings

 

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Opened Access The asymptotic behavior of the composition of firmly nonexpansive mappings
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Author: Ariza Ruiz, David
López Acedo, Genaro
Nicolae, Adriana
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2015-11
Published in: Journal of Optimization Theory and Applications, 167 (2), 409-429.
Document type: Article
Abstract: In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direction proved recently in spaces of curvature bounded above. For this purpose, we analyze the asymptotic behavior of compositions of finitely many firmly nonexpansive mappings in the setting of p-uniformly convex geodesic spaces focusing on asymptotic regularity and convergence results.
Cite: Ariza Ruiz, D., López Acedo, G. y Nicolae, A. (2015). The asymptotic behavior of the composition of firmly nonexpansive mappings. Journal of Optimization Theory and Applications, 167 (2), 409-429.
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URI: http://hdl.handle.net/11441/42607

DOI: 10.1007/s10957-015-0710-3

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