Unconstrained Optimization Reformulations of Variational Inequality Problems

Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications

Patrick T. Harker, Jong‐Shi Pang · Mathematical Programming · 1990 · 1.8K citations

Natural Sciences, Computational Engineering, Mathematics +14

Traffic Equilibrium and Variational Inequalities

Stella Dafermos · Transportation Science · 1980 · 935 citations

Engineering, Mathematics, Transportation Planning +17

Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems

Masao Fukushima · Mathematical Programming · 1992 · 658 citations

Natural Sciences, Mathematics, Optimization +13

Nonlinear complementarity as unconstrained and constrained minimization

O. L. Mangasarian, M. V. Solodov · Mathematical Programming · 1993 · 203 citations

Natural Sciences, Mathematics, Optimization +11

A globally convergent Newton method for solving strongly monotone variational inequalities

Kouichi Taji, Masao Fukushima, Toshihide Ibaraki · Mathematical Programming · 1993 · 184 citations

Computing, Mathematics, Computational Mechanics +11