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arXiv · 1411.6779

The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings

David Ariza-Ruiz·Genaro López-Acedo·Adriana Nicolae
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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.

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David Ariza-Ruiz, Genaro López-Acedo, Adriana Nicolae. 2014-11-25. The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings. https://arxiv.org/abs/1411.6779

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