The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings

David Ariza-Ruiz (), Genaro López-Acedo () and Adriana Nicolae ()
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David Ariza-Ruiz: Universidad de Sevilla
Genaro López-Acedo: Universidad de Sevilla
Adriana Nicolae: Babeş-Bolyai University

Journal of Optimization Theory and Applications, 2015, vol. 167, issue 2, No 1, 409-429

Abstract: Abstract 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.

Keywords: Firmly nonexpansive mapping; Convex optimization; Convex feasibility problem; $$p$$ p -Uniformly convex geodesic space; CAT $$(\kappa )$$ ( κ ) space; 47H09; 49M27; 53C23 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10957-015-0710-3

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