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math.FA2023
Shortest curves in proximally smooth sets: existence and uniqueness
Grigory M. Ivanov, Mariana S. Lopushanski, Grigorii E. Ivanov
We study shortest curves in proximally smooth subsets of a Hilbert space. We consider an -proximally smooth set in a Hilbert space with points and satisfying $\left|…
math.FA2020
Rectifiable curves in proximally smooth sets
Grigory Ivanov, Mariana Lopushanski
We provide an algorithm of constructing a rectifiable curve between two sufficiently close points of a proximally smooth set in a uniformly convex and uniformly smooth Banach space…