Isotone retraction cones in Hilbert spaces

DOI10.1016/j.na.2010.03.044zbMath1241.46001OpenAlexW2091069904MaRDI QIDQ975848

Sándor Zoltan Németh

Publication date: 11 June 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.044

zbMATH Keywords

isotone mappingretractionsisotone projection coneslatticial conesprojection onto conesisotone retraction conessharp mapping

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Ordered topological linear spaces, vector lattices (46A40)

Related Items (5)

Generalized isotone projection cones ⋮ Generalized projections onto convex sets ⋮ A semi-smooth Newton method for a special piecewise linear system with application to positively constrained convex quadratic programming ⋮ Projection onto simplicial cones by a semi-smooth Newton method ⋮ Projection onto simplicial cones by Picard's method

Cites Work

• Projection methods, isotone projection cones, and the complementarity problem
• Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems
• Monotonicity of metric projection onto positive cones of ordered Euclidean spaces
• Characterization of a Hilbert vector lattice by the metric projection onto its positive cone
• Every generating isotone projection cone is latticial and correct
• Inequalities characterizing coisotone cones in Euclidean spaces
• Iterative methods for nonlinear complementarity problems on isotone projection cones
• In what spaces is every closed normal cone regular?
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