Abstract
We provide new proofs of two intrinsic properties of prox-regular sets in Hilbert spaces.
Funding source: Bulgarian National Science Fund
Award Identifier / Grant number: KP-06-H22/4
Funding statement: M. Konstantinov is supported by the Bulgarian Ministry of Education and Science under the National Research Programme Young scientists and postdoctoral students approved by DCM #577/17.08.2018. N. Zlateva is supported by the Bulgarian National Science Fund under Grant KP-06-H22/4.
Acknowledgements
We appreciate the invaluable help of Prof. Lionel Thibault who shared a part of his unpublished yet work [16] in private communication.
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