BV sweeping process involving prox-regular sets and a composed perturbation

DOI10.1007/s11228-024-00705-7OpenAlexW4391218004MaRDI QIDQ6123430

A. A. Tolstonogov

Publication date: 4 March 2024

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-024-00705-7

zbMATH Keywords

sweeping processprox-regular setsnonconvex-valued perturbation

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Fixed-point theorems (47H10) Ordinary differential inclusions (34A60) Evolution inclusions (34G25) Nonlinear evolution equations (47J35)

Cites Work

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• Local differentiability of distance functions
• Discontinuous sweeping process with prox-regular sets
• BV prox-regular sweeping process with bounded truncated variation
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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