Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418838 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Aurora Fernández-León, Adriana Nicolae,