Characterizations of metric projections in Banach spaces and applications

DOI10.1155/S1085337598000451zbMath1030.90136OpenAlexW2055318728MaRDI QIDQ5926220

Robert Ratsimahalo, Jean-Paul Penot

Publication date: 18 February 2004

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50557

zbMATH Keywords

variational inequalityBanach latticeconvex conesdecomposition of a Banach spaceduality mappingMetric projectionsemi-inner product

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

Related Items (13)

Projections onto cones in Banach spaces ⋮ Subdifferentials of distance functions, approximations and enlargements ⋮ A proximal augmented Lagrangian method for equilibrium problems ⋮ Implicit second order differential inclusions in reflexive smooth Banach spaces ⋮ Convex analysis in normed spaces and metric projections onto convex bodies ⋮ Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces ⋮ Metric and Bregman projections onto affine subspaces and their computation via sequential subspace optimization methods ⋮ State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces ⋮ On Lipschitz implicit function theorems in Banach spaces and applications ⋮ First and second order convex sweeping processes in reflexive smooth Banach spaces ⋮ Localization of generalized normal maps and stability of variational inequalities in reflexive Banach spaces ⋮ A Mountain Pass Lemma and its implications regarding the uniqueness of constrained minimizers ⋮ Implicit differential inclusions in reflexive smooth Banach spaces

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