The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings

In this paper, we provide, in the setting of geodesic spaces, a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results proved recently in this direction. For this purpose, we analyze the asymptotic behavior of compos...

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Veröffentlicht in:	Journal of optimization theory and applications 2015-11, Vol.167 (2), p.409-429
Hauptverfasser:	Ariza-Ruiz, David, López-Acedo, Genaro, Nicolae, Adriana
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applications of Mathematics Asymptotic properties Banach spaces Calculus of Variations and Optimal Control Optimization Convergence Convex analysis Engineering Feasibility Mapping Mathematics Mathematics and Statistics Minimization Operations Research/Decision Theory Optimization Regularity Theory of Computation
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Beschreibung
Zusammenfassung:	In this paper, we provide, in the setting of geodesic spaces, a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results proved recently in this direction. For this purpose, we analyze the asymptotic behavior of compositions of finitely many firmly nonexpansive mappings focusing on asymptotic regularity and convergence results.
ISSN:	0022-3239 1573-2878
DOI:	10.1007/s10957-015-0710-3