Variational principles for variational inequalities. (English) Zbl 0678.49010
This paper describes, and analyzes, variational principles for the solutions of a variational inequality on a finite dimensional, closed, convex set. There is no symmetry requirement on the function, or its derivatives. A saddle point characterization of the solutions is also given. The principles are described explicitly for solving inequalities on an n-dimensional box, or ellipsoid. Also for linear and nonlinear complementarity problems.
Reviewer: G.Auchmuty
MSC:
| 49J40 | Variational inequalities |
| 90C33 | Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) |
| 49K27 | Optimality conditions for problems in abstract spaces |
References:
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