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arXiv · 1211.4958

Averaged alternating reflections in geodesic spaces

Aurora Fernandez-Leon·Adriana Nicolae
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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 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.

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Aurora Fernandez-Leon, Adriana Nicolae. 2013-10-02. Averaged alternating reflections in geodesic spaces. https://arxiv.org/abs/1211.4958

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