Convergence and error bound of a method for solving variational inequality problems via the generalized D-gap function

DOI10.1023/B:JOTA.0000006688.13248.04zbMath1045.49015MaRDI QIDQ597189

Zhang, Jianzhong, Chang-Yu Wang, Biao Qu

Publication date: 6 August 2004

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

zbMATH Keywords

unconstrained optimizationglobal convergencevariational inequality problemserror bound estimationgeneralized D-gap function

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (12)

Merit functions for general variational inequalities ⋮ Methods for solving generalized Nash equilibrium ⋮ Merit functions for absolute value variational inequalities ⋮ Error bound results for generalized D-gap functions of nonsmooth variational inequality problems ⋮ Unnamed Item ⋮ Merit functions: a bridge between optimization and equilibria ⋮ Error bounds for affine variational inequalities with second-order cone constraints ⋮ Merit functions: a bridge between optimization and equilibria ⋮ Merit functions for general mixed quasi-variational inequalities ⋮ Gap functions and error bounds for random generalized variational inequality problems ⋮ Generalized gap functions and error bounds for generalized variational inequalities ⋮ MiPSP and MaPSP for prevariational inequalities with set-valued mappings

Cites Work

• Unnamed Item
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
• A general descent framework for the monotone variational inequality problem
• Unconstrained optimization reformulations of variational inequality problems
• Equivalence of variational inequality problems to unconstrained minimization
• A hybrid Newton method for solving the variational inequality problem via the D-gap function
• Equivalent Unconstrained Minimization and Global Error Bounds for Variational Inequality Problems
• Variational principles for variational inequalities
• Engineering and Economic Applications of Complementarity Problems

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