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Subdifferentials of Distance Function Outside of Target Set in Riemannian Manifolds

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Abstract

In this paper some subdifferentials of distance function from a closed subset in points outside of the target set are introduced in the context of Riemannian manifolds. The subdifferential regularities of distance function \(d_{S}\) and normal regularities of enlargements of a set S are also studied in this setting.

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Correspondence to Ali Barani.

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Communicated by Majid Soleimani-damaneh.

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Malmir, F., Barani, A. Subdifferentials of Distance Function Outside of Target Set in Riemannian Manifolds. Bull. Iran. Math. Soc. 48, 367–383 (2022). https://doi.org/10.1007/s41980-020-00522-2

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  • DOI: https://doi.org/10.1007/s41980-020-00522-2

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