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Polyhedral Sweeping Processes with Oblique Reflection in the Space of Regulated Functions

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Abstract

The Lipschitz continuity of the solution operator of a sweeping process with moving polyhedral characteristic and oblique reflection in the space of left-continuous vector-valued regulated functions with respect to the supremum norm is proved under the hypothesis of ℓ-paracontractivity and transversality of the associated projection system.

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KrejčÍ, P., Vladimirov, A. Polyhedral Sweeping Processes with Oblique Reflection in the Space of Regulated Functions. Set-Valued Analysis 11, 91–110 (2003). https://doi.org/10.1023/A:1021980201718

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  • DOI: https://doi.org/10.1023/A:1021980201718

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