Projection methods, isotone projection cones, and the complementarity problem

DOI10.1016/0022-247X(90)90277-MzbMath0711.47030OpenAlexW2077591809MaRDI QIDQ923351

George Isac, Alexander B. Németh

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)90277-m

zbMATH Keywords

Hilbert spaceiterative methodscomplementarity problemsprojection methodsdual coneisotone projection cone

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Existence theories for problems in abstract spaces (49J27)

Related Items

Extended Lorentz cones and variational inequalities on cylinders ⋮ Generalized isotone projection cones ⋮ Implicit complementarity problems on isotone projection cones ⋮ Lattice-like Subsets of Euclidean Jordan Algebras ⋮ A geometrical approach to iterative isotone regression ⋮ Isotonicity of the metric projection by Lorentz cone and variational inequalities ⋮ Complementarity problems via common fixed points in vector lattices ⋮ 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 ⋮ 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 ⋮ Inequalities characterizing coisotone cones in Euclidean spaces ⋮ Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems ⋮ Exceptional families of elements for set-valued mappings: an application to nonlinear complementarity problems ⋮ How to project onto an isotone projection cone ⋮ Pseudo-metric space and fixed point theorem ⋮ Isotone retraction cones in Hilbert spaces ⋮ Characterization of the Cone and Applications in Banach 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 ⋮ Some remarks on complementarity problems in a Hilbert space ⋮ Functions without exceptional family of elements and complementarity problems ⋮ The implicit general order complementarity problem, models and iterative methods ⋮ Extended Lorentz cones and mixed complementarity problems ⋮ Explicit and implicit complementarity problems in a Hilbert space

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