Equivalence of variational inequality problems to unconstrained minimization

DOI10.1007/BF02614360zbMath0887.90171OpenAlexW1995158804MaRDI QIDQ1366423

Jiming Peng

Publication date: 10 September 1997

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02614360

zbMATH Keywords

unconstrained minimizationvariational inequality problemsmerit functions

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• 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
• A general descent framework for the monotone variational inequality problem
• Nonlinear complementarity as unconstrained and constrained minimization
• Unconstrained optimization reformulations of variational inequality problems
• On stationary points of the implicit Lagrangian for nonlinear complementarity problems
• Equivalent Unconstrained Minimization and Global Error Bounds for Variational Inequality Problems
• Two-Metric Projection Methods for Constrained Optimization
• Equivalence of Complementarity Problems to Differentiable Minimization: A Unified Approach
• Unnamed Item

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