Isotonicity of the metric projection and complementarity problems in Hilbert spaces
type: Item
instance of: scholarly article
title: Isotonicity of the metric projection and complementarity problems in Hilbert spaces
author: Dezhou Kong
author: Lishan Liu
author: Yonghong Wu
published in: Journal of Optimization Theory and Applications
publication date: 2017-12-15T00:00:00Z
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 39B62
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 6819188
zbMATH Keywords: cone
zbMATH Keywords: isotonicity
zbMATH Keywords: metric projection
zbMATH Keywords: complementarity problem
zbMATH Keywords: quasi-lattice
MaRDI profile type: Publication
full work available at URL: s10957-017-1162-8
OpenAlex ID: W2750824306
cites work: Monotonicity of metric projection onto positive cones of ordered Euclidean spaces
cites work: Every generating isotone projection cone is latticial and correct
cites work: Q3142373
cites work: Normality of spaces of operators and quasi-lattices
cites work: Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces
cites work: Extended Lorentz cones and variational inequalities on cylinders
cites work: Isotonicity of the metric projection by Lorentz cone and variational inequalities
cites work: Extended Lorentz cones and mixed complementarity problems
cites work: Isotonic regression and isotonic projection
cites work: Solvability of variational inequalities on Hilbert lattices
cites work: Optimal solutions to variational inequalities on Banach lattices
cites work: Lattice-like operations and isotone projection sets
cites work: A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces
cites work: Finding solutions of implicit complementarity problems by isotonicity of the metric projection
cites work: Solving nonlinear complementarity problems by isotonicity of the metric projection
cites work: On the hyperbolic Pascal pyramid
cites work: Q5751411
cites work: The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces
DOI: 10.1007/S10957-017-1162-8
description: scientific article; zbMATH DE number 6819188