Generalized projections on closed nonconvex sets in uniformly convex and uniformly smooth Banach spaces

DOI10.1155/2015/478437zbMath1339.46010OpenAlexW1584544946WikidataQ59112837 ScholiaQ59112837MaRDI QIDQ490929

Messaoud Bounkhel

Publication date: 21 August 2015

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

Full work available at URL: https://doi.org/10.1155/2015/478437

zbMATH Keywords

generalized projectionsminimisation principle

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (5)

Calculus rules for \(V\)-proximal subdifferentials in smooth Banach spaces ⋮ Generalised-prox-regularity in reflexive smooth Banach spaces with smooth dual norm ⋮ Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces ⋮ \(V\)-prox-regular functions in smooth Banach spaces ⋮ Existence results for second order nonconvex sweeping processes in \(q\)-uniformly convex and 2-uniformly smooth separable Banach spaces

Cites Work

• First and second order convex sweeping processes in reflexive smooth Banach spaces
• Proximal analysis in reflexive smooth Banach spaces
• Geometry of Banach spaces. Selected topics
• The generalized projection operator on reflexive Banach spaces and its applications
• On the existence of solutions of variational inequalities in Banach spaces
• The connection between the metric and generalized projection operators in Banach spaces
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Generalized Projection Operators in Banach Spaces: Properties and Applications
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