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Uniform convexity and convergence of a sequence of sets in a complete geodesic space - MaRDI portal

Uniform convexity and convergence of a sequence of sets in a complete geodesic space (Q2675693)

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Uniform convexity and convergence of a sequence of sets in a complete geodesic space
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    Uniform convexity and convergence of a sequence of sets in a complete geodesic space (English)
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    24 September 2022
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    Summary: In this paper, we first introduce two new notions of uniform convexity on a geodesic space, and we prove their properties. Moreover, we reintroduce a concept of the set-convergence in complete geodesic spaces, and we prove a relation between the metric projections and the convergence of a sequence of sets.
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    uniform convexity
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    convergence of a sequence of sets
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    complete geodesic space
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