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Averaged alternating reflections in geodesic spaces

 

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Opened Access Averaged alternating reflections in geodesic spaces
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Author: Nicolae, Adriana
Fernández León, Aurora
Department: Universidad de Sevilla. Departamento de Didáctica de las Matemáticas
Date: 2013
Published in: 2º Congreso de Jóvenes Investigadores de la Real Sociedad Matemática Española (2013), p 1-13
Document type: Presentation
Abstract: We study the nonexpansivity of reflection mappings in geodesic spaces and apply our findings to the averaged alternating reflection algorithm employed in solving the convex feasibility problem for two sets in a nonlinear context. We show that weak convergence results from Hilbert spaces find natural counterparts in spaces of constant curvature. Moreover, in this particular setting, one obtains strong convergence.
Cite: Nicolae, A. y Fernández León, A. (2013). Averaged alternating reflections in geodesic spaces. En 2º congreso de jóvenes investigadores de la Real Sociedad Matemática Española (1-13), Sevilla: Real Sociedad Matemática Española.
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Format: PDF

URI: http://hdl.handle.net/11441/43079

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