Calculus rules for \(V\)-proximal subdifferentials in smooth Banach spaces

DOI10.1155/2016/1917387zbMath1348.49012OpenAlexW2431791453WikidataQ59126899 ScholiaQ59126899MaRDI QIDQ301510

Messaoud Bounkhel

Publication date: 30 June 2016

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/1917387

zbMATH Keywords

Bishop-Phelps theoremsmooth Banach spacesnonconvex minimization problemsnonconvex variational inequalitiesproximal normal coneproximinal subdifferentials

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Optimality conditions for problems in abstract spaces (49K27)

Related Items (3)

Generalised-prox-regularity in reflexive smooth Banach spaces with smooth dual norm ⋮ Iterative schemes for nonconvex quasi-variational problems with \(V\)-prox-regular data in Banach spaces ⋮ \(V\)-proximal trustworthy Banach spaces

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
• Proximal Analysis and Boundaries of Closed Sets in Banach Space, Part I: Theory
• Renormings of L p (L q )
• Nonsmooth sequential analysis in Asplund spaces
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Proximal Analysis and Approximate Subdifferentials
• Generalized Projection Operators in Banach Spaces: Properties and Applications
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