Complementarity problems over locally compact cones. (English) Zbl 0679.90082

Gowda, M. Seetharama

SIAM J. Control Optimization 27, No. 4, 836-841 (1989).

Summary: This paper proves an existence result for a complementarity problem (on a locally convex space) where the mapping is copositive, positive homogeneous, and of monotone type on a locally compact cone. A perturbation theorem is proved that extends a result of O. L. Mangasarian [Math. Program. Study 18, 153-166 (1982; Zbl 0487.90088)] and R. D. Doverspike [Math. Program. 23, 181-192 (1982; Zbl 0484.90087)] proved for \(n\times n\) matrices on the nonnegative orthant.

MSC:

90C33	Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
49J99	Existence theories in calculus of variations and optimal control
49K40	Sensitivity, stability, well-posedness

Keywords:

Mackey topology; existence result; locally convex space; copositive, positive homogeneous; locally compact cone; perturbation

Citations:

Zbl 0487.90088; Zbl 0484.90087