Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840462 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 7 Pages |
Abstract
We consider a notion of set-convergence in a Hadamard space recently defined by Kimura and extend it to that in a complete geodesic space with curvature bounded above by a positive number. We obtain its equivalent condition by using the corresponding sequence of metric projections. We also discuss the Kadec–Klee property on such spaces and interaction among this set-convergence having different curvatures.
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Authors
Yasunori Kimura, Kenzi Satô,