Uniqueness of supporting hyperplanes and an alternative to solutions of variational inequalities
type: Item
instance of: scholarly article
title: Uniqueness of supporting hyperplanes and an alternative to solutions of variational inequalities
zbMATH Open document ID: 1298.47072
author: Songnian He
author: Hong-Kun Xu
published in: Journal of Global Optimization
publication date: 2013-12-09T00:00:00Z
review text: The main result of the paper is an alternative in solving variational inequalities. This alternative is closely related to a uniqueness result regarding supporting hyperplanes to convex sets. Applications are also given.
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 90C25
zbMATH DE Number: 6236765
zbMATH Keywords: supporting hyperplane
zbMATH Keywords: uniqueness
zbMATH Keywords: variational inequality
zbMATH Keywords: alternative
zbMATH Keywords: Hilbert space
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: s10898-012-9995-z
OpenAlex ID: W2090377729
cites work: Q5244903
cites work: Q3952640
cites work: A self-adaptive method for solving general mixed variational inequalities
cites work: Geometry of Banach spaces. Selected topics
cites work: Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
cites work: Q3998720
cites work: Q3914338
cites work: Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
cites work: Improvements of some projection methods for monotone nonlinear variational inequalities
cites work: Q3406701
cites work: An approximate proximal-extragradient type method for monotone variational inequalities
cites work: Q2753173
cites work: An Introduction to Variational Inequalities and Their Applications
cites work: Improved noniterative algorithm for solving the traffic equilibrium problem
cites work: Q5737280
cites work: Convergence of hybrid steepest-descent methods for variational inequalities
cites work: Viscosity approximation methods for nonexpansive mappings
cites work: The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
cites work: Q3706043
DOI: 10.1007/S10898-012-9995-Z
description: scientific article; zbMATH DE number 6236765