A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces
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Publication:2438983
DOI10.1016/j.na.2013.11.013zbMath1292.90296arXiv1212.5438OpenAlexW2160026266MaRDI QIDQ2438983
Publication date: 7 March 2014
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.5438
Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Programming in abstract spaces (90C48)
Related Items (5)
Isotonicity of the metric projection by Lorentz cone and variational inequalities ⋮ Isotonicity of the metric projection and complementarity problems in Hilbert spaces ⋮ Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces ⋮ Characterization of the Cone and Applications in Banach Spaces ⋮ Isotonicity of the metric projection with respect to the mutually dual orders and complementarity problems
Cites Work
- A duality between the metric projection onto a convex cone and the metric projection onto its dual
- Solving nonlinear complementarity problems by isotonicity of the metric projection
- Some P-properties for linear transformations on Euclidean Jordan algebras
- Projection methods, isotone projection cones, and the complementarity problem
- Characterization of a Hilbert vector lattice by the metric projection onto its positive cone
- Every generating isotone projection cone is latticial and correct
- Lattice-like operations and isotone projection sets
- Solvability of Variational Inequalities on Hilbert Lattices
- Fixed Point Theory in Ordered Sets and Applications
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