Presentation
Averaged alternating reflections in geodesic spaces
Author/s | Nicolae, Adriana
Fernández León, Aurora |
Department | Universidad de Sevilla. Departamento de Didáctica de las Matemáticas |
Publication Date | 2013 |
Deposit Date | 2016-07-04 |
Published in |
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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 ... 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. |
Citation | 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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