Homotopy methods for solving variational inequalities in unbounded sets

DOI10.1007/s10898-004-4272-4zbMath1072.65098OpenAlexW2083003246MaRDI QIDQ556007

Bo Yu, Qing Xu, Guo-Chen Feng

Publication date: 13 June 2005

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-004-4272-4

zbMATH Keywords

global convergenceunbounded setvariational inequalityhomotopy methodinterior point method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37)

Related Items (13)

Homotopy method for a class of multiobjective optimization problems with equilibrium constraints ⋮ Solving unbounded box constrained variational inequalities via a homotopy method ⋮ A differentiable path-following algorithm for computing perfect stationary points ⋮ A smoothing homotopy method for variational inequality problems on polyhedral convex sets ⋮ Strong convergence on the aggregate constraint-shifting homotopy method for solving general nonconvex programming ⋮ Homotopy method for solving variational inequalities with bounded box constraints ⋮ Condition for global convergence of a homotopy method for variational inequality problems on unbounded sets ⋮ A smoothing homotopy method for solving variational inequalities ⋮ Embedding methods for solving variational inequalities ⋮ Solving a class of semi-infinite variational inequality problems via a homotopy method ⋮ A globally convergent non-interior point homotopy method for solving variational inequalities ⋮ Globally convergent method for designing twice spline contractual function ⋮ A new homotopy method for solving non-linear complementarity problems

Cites Work

• Unnamed Item
• Unnamed Item
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Homotopy method for solving variational inequalities
• Exceptional families and existence theorems for variational inequality problems
• Accelerating the convergence of the diagonalization and projection algorithms for finite-dimensional variational inequalities
• Homotopy method for a class of nonconvex Brouwer fixed-point problems
• On some non-linear elliptic differential functional equations
• Iterative methods for variational and complementarity problems
• Existence of an interior pathway to a Karush-Kuhn-Tucker point of a nonconvex programming problem
• Variational inequalities
• Nonlinear Programs with Positively Bounded Jacobians
• On the basic theorem of complementarity
• The Linear Complementarity Problem
• The complementarity problem

This page was built for publication: Homotopy methods for solving variational inequalities in unbounded sets