State dependent nonconvex sweeping processes in smooth Banach spaces

DOI10.4171/PM/2049zbMath1479.34115MaRDI QIDQ2025698

Mostafa Bachar, Djalel Bounekhel, Messaoud Bounkhel

Publication date: 14 May 2021

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

zbMATH Keywords

uniformly smooth spacesuniformly convex spacesgeneralized proximal normal cone\(V\)-uniformly generalized prox-regularitynonconvex sweeping process

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Ordinary differential inclusions (34A60) Evolution inclusions (34G25)

Cites Work

• State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces
• Regularity concepts in nonsmooth analysis. Theory and applications
• First and second order convex sweeping processes in reflexive smooth Banach spaces
• On parabolic quasi-variational inequalities and state-dependent sweeping processes
• Generalised-prox-regularity in reflexive smooth Banach spaces with smooth dual norm
• Nonlinear Ill-posed Problems of Monotone Type
• Generalized Projection Operators in Banach Spaces: Properties and Applications
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