Every generating isotone projection cone is latticial and correct

DOI10.1016/0022-247X(90)90383-QzbMath0725.46002OpenAlexW1985031025MaRDI QIDQ2276720

Yanyan Li

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90383-q

zbMATH Keywords

generating coneisotone projection conecorrectlatticialpointed convex positive cone

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 (20)

Solving cone-constrained convex programs by differential inclusions ⋮ Generalized isotone projection cones ⋮ Implicit complementarity problems on isotone projection cones ⋮ A new characterization of convex φ-functions with a parameter ⋮ 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 latticial cones in Hilbert spaces by isotonicity and generalized infimum ⋮ Finding solutions of implicit complementarity problems by isotonicity of the metric projection ⋮ Characterization of a Hilbert vector lattice by the metric projection onto its positive cone ⋮ Domination of quadratic forms ⋮ A duality between the metric projection onto a convex cone and the metric projection onto its dual ⋮ A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces ⋮ Solving nonlinear complementarity problems by isotonicity of the metric projection ⋮ Projection methods, isotone projection cones, and the complementarity problem ⋮ Inequalities characterizing coisotone cones in Euclidean spaces ⋮ Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems ⋮ How to project onto an isotone projection cone ⋮ Isotone retraction cones in Hilbert spaces ⋮ Characterization of subdual latticial cones in Hilbert spaces by the isotonicity of the metric projection ⋮ Iterative methods for nonlinear complementarity problems on isotone projection cones

Cites Work

• Cônes autopolaires et algèbres de Jordan
• Corrigendum to ``Monotonicity of metric projections onto positive cones of ordered Euclidean spaces
• Perfect cones
• In what spaces is every closed normal cone regular?
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