Existence results for second order nonconvex sweeping processes in \(q\)-uniformly convex and 2-uniformly smooth separable Banach spaces

DOI10.3390/sym11010028zbMath1423.49013OpenAlexW2908425211WikidataQ128689288 ScholiaQ128689288MaRDI QIDQ2333964

Djalel Bounekhel, Messaoud Bounkhel, Mostafa Bachar

Publication date: 13 November 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym11010028

zbMATH Keywords

uniformly smooth spacesuniformly convex spacesgeneralized proximal normal conenonconvex sweeping processgeneralized uniformly prox-regularity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Ordinary differential inclusions (34A60) Evolution inclusions (34G25)

Cites Work

• Generalized projections on closed nonconvex sets in uniformly convex and uniformly smooth Banach spaces
• Regularity concepts in nonsmooth analysis. Theory and applications
• First and second order convex sweeping processes in reflexive smooth Banach spaces
• Proximal analysis in reflexive smooth Banach spaces
• The generalized projection operator on reflexive Banach spaces and its applications
• Generalised-prox-regularity in reflexive smooth Banach spaces with smooth dual norm
• Nonlinear Ill-posed Problems of Monotone Type
• Existence results for second order convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces
• Generalized Projection Operators in Banach Spaces: Properties and Applications
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