A duality between the metric projection onto a convex cone and the metric projection onto its dual
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Publication:429272
DOI10.1016/j.jmaa.2012.03.019zbMath1254.46006OpenAlexW2072671270MaRDI QIDQ429272
Publication date: 19 June 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.019
Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Ordered topological linear spaces, vector lattices (46A40)
Related Items (6)
Isotonicity of the metric projection by Lorentz cone and variational inequalities ⋮ Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces ⋮ Lattice-like operations and isotone projection sets ⋮ A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces ⋮ Projection onto simplicial cones by Picard's method ⋮ Isotonicity of the metric projection with respect to the mutually dual orders and complementarity problems
Cites Work
- Solving nonlinear complementarity problems by isotonicity of the metric projection
- Projection methods, isotone projection cones, and the complementarity problem
- How to project onto an isotone projection cone
- 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
- On an inequality related to the isotonicity of the projection operator
- Every generating isotone projection cone is latticial and correct
- Iterative methods for nonlinear complementarity problems on isotone projection cones
- Generalized isotone projection cones
- Inequalities related to isotonicity of projection and antiprojection operators
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