Gap functions and global error bounds for set-valued variational inequalities
From MaRDI portal
Publication:848552
DOI10.1016/j.cam.2009.11.041zbMath1204.65079OpenAlexW2003522014MaRDI QIDQ848552
Publication date: 4 March 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.11.041
gap functionsglobal error boundsunconstrained optimization problemset-valued variational inequality problem
Variational inequalities (49J40) Numerical methods for variational inequalities and related problems (65K15)
Related Items (13)
Gap functions and global error bounds for generalized mixed variational inequalities on Hadamard manifolds ⋮ Existence conditions for solutions of bilevel vector equilibrium problems with application to traffic network problems with equilibrium constraints ⋮ Gap functions and global error bounds for history-dependent variational-hemivariational inequalities ⋮ Gap functions and global error bounds for differential variational-hemivariational inequalities ⋮ Mixed vector equilibrium-like problems on Hadamard manifolds: error bound analysis ⋮ Error bound analysis for split weak vector mixed quasi-variational inequality problems in fuzzy environment ⋮ Caputo fractional differential variational-hemivariational inequalities involving history-dependent operators: global error bounds and convergence ⋮ A new class of strong mixed vector GQVIP-generalized quasi-variational inequality problems in fuzzy environment with regularized gap functions based error bounds ⋮ Regularized gap functions and error bounds for generalized mixed strong vector quasiequilibrium problems ⋮ Gap functions and error bounds for variational-hemivariational inequalities ⋮ Regularized gap functions and error bounds for generalized mixed weak vector quasivariational inequality problems in fuzzy environments ⋮ Error bounds and gap functions for various variational type problems ⋮ Unnamed Item
Cites Work
- Merit functions for general variational inequalities
- Error bounds of regularized gap functions for nonsmooth variational inequality problems
- A note on a globally convergent Newton method for solving monotone variational inequalities
- Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
- Nonlinear programming and variational inequality problems. A unified approach
- Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities
- Nonlinear complementarity as unconstrained and constrained minimization
- A class of gap functions for variational inequalities
- Unconstrained optimization reformulations of variational inequality problems
- Error bounds in mathematical programming
- Equivalence of variational inequality problems to unconstrained minimization
- Merit functions and error bounds for generalized variational inequalities.
- Error bounds for proximal point subproblems and associated inexact proximal point algorithms
- Equivalent optimization formulations and error bounds for variational inequality problems
- Coercivity conditions and variational inequalities
- Global bounds for the distance to solutions of co-coercive variational inequalities
- D-gap functions for nonsmooth variational inequality problems
- Equivalent Unconstrained Minimization and Global Error Bounds for Variational Inequality Problems
- Variational principles for variational inequalities
- Set-valued analysis
- Global projection-type error bounds for general variational inequalities
- Unnamed Item
- Unnamed Item
This page was built for publication: Gap functions and global error bounds for set-valued variational inequalities