Abstract
We introduce the concept of a φ-convex subset of a Hadamard manifold. Then we prove that for a φ-convex subset S of a Hadamard manifold M there exists an open set U containing S such that the metric projection is a single valued locally Lipschitz mapping on U.
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The third author was partially supported by the Center of Excellence for Mathematics, University of Shahrekord, Iran.
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Barani, A., Hosseini, S. & Pouryayevali, M.R. On the metric projection onto φ-convex subsets of Hadamard manifolds. Rev Mat Complut 26, 815–826 (2013). https://doi.org/10.1007/s13163-011-0085-4
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DOI: https://doi.org/10.1007/s13163-011-0085-4