Solving nonlinear complementarity problems by isotonicity of the metric projection

DOI10.1016/j.jmaa.2011.08.048zbMath1228.90122OpenAlexW2042293407MaRDI QIDQ643594

Mujahid Abbas, Sándor Zoltan Németh

Publication date: 2 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.048

zbMATH Keywords

nonlinear complementarity problemconesmetric projectionisotone mapssimplicial cones

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (14)

Weak-star dentability, quasi-weak-star near dentability and continuity of metric projector in Banach spaces ⋮ Extended Lorentz cones and variational inequalities on cylinders ⋮ Lattice-like Subsets of Euclidean Jordan Algebras ⋮ 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 ⋮ 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 ⋮ Isotonicity of the proximity operator and mixed variational inequalities in Hilbert spaces ⋮ Characterization of the Cone and Applications in Banach Spaces ⋮ A semi-smooth Newton method for a special piecewise linear system with application to positively constrained convex quadratic programming ⋮ Projection onto simplicial cones by a semi-smooth Newton method ⋮ Projection onto simplicial cones by Picard's method ⋮ Isotonicity of the metric projection with respect to the mutually dual orders and complementarity problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Projection methods, isotone projection cones, and the complementarity problem
• Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems
• Monotonicity of metric projection onto positive cones of ordered Euclidean spaces
• Monotone (nonlinear) operators in Hilbert space
• A class of iterative methods for solving nonlinear projection equations
• Seven kinds of monotone maps
• Network economics: a variational inequality approach
• Every generating isotone projection cone is latticial and correct
• Inequalities characterizing coisotone cones in Euclidean spaces
• Iterative methods for nonlinear complementarity problems on isotone projection cones
• Methodes itératives pour les équations et inéquations aux dérivées partielles non linéaires de type monotone. (Iteration methods for nonlinear equations and inequations with partial derivatives of monotone type)
• Application Of Khobotov’s Algorithm To Variational Inequalities And Network Equilibrium Problems
• Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
• A New Projection Method for Variational Inequality Problems
• A variant of korpelevich’s method for variational inequalities with a new search strategy
• Modified Projection-Type Methods for Monotone Variational Inequalities
• Continuity properties of monotone nonlinear operators in Banach spaces
• ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES

This page was built for publication: Solving nonlinear complementarity problems by isotonicity of the metric projection