Equivalent optimization formulations and error bounds for variational inequality problems

DOI10.1007/s10957-004-1839-7zbMath1071.49007OpenAlexW2071878201MaRDI QIDQ1780587

Niranjan Chakravarthy

Publication date: 13 June 2005

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-004-1839-7

zbMATH Keywords

error boundsoptimization problemsdescent methodsvariational inequality problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40)

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Gap functions and global error bounds for set-valued variational inequalities ⋮ Error bounds of regularized gap functions for nonsmooth variational inequality problems ⋮ Error bounds of regularized gap functions for nonmonotone Ky Fan inequalities ⋮ Mixed quasi-variational inequalities involving error bounds ⋮ Unnamed Item ⋮ Merit functions: a bridge between optimization and equilibria ⋮ Gap functions and error bounds for generalized vector variational inequalities ⋮ Gap functions and error bounds for generalized mixed vector equilibrium problems ⋮ On penalty method for equilibrium problems in lexicographic order ⋮ D-gap functions for nonsmooth variational inequality problems ⋮ Global bounds for cocoercive variational inequalities ⋮ Merit functions: a bridge between optimization and equilibria ⋮ Gap functions and error bounds for quasi variational inequalities ⋮ Error bounds for strongly monotone and Lipschitz continuous variational inequalities ⋮ Regularized gap functions for nonsmooth variational inequality problems ⋮ Gap functions and error bounds for random generalized variational inequality problems ⋮ Generalized gap functions and error bounds for generalized variational inequalities ⋮ Error bounds of regularized gap functions for polynomial variational inequalities ⋮ Gap functions and error bounds for weak vector variational inequalities ⋮ Unnamed Item ⋮ Error bounds of regularized gap functions for weak vector variational inequality problems

Cites Work

• Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
• Exceptional families and existence theorems for variational inequality problems
• Unconstrained optimization reformulations of variational inequality problems
• Error Bounds for Lower Semicontinuous Functions in Normed Spaces
• Equivalent Unconstrained Minimization and Global Error Bounds for Variational Inequality Problems
• Variational principles for variational inequalities

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