Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0845.90116
Yen, N.D.
Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint. (English)
[J] Math. Oper. Res. 20, No.3, 695-708 (1995). ISSN 1526-5471; ISSN 0364-765X/e

Summary: It is proved that the metric projection from a point onto a moving polyhedron is Lipschitz continuous with respect to the perturbations on the right-hand sides of the linear inequalities defining the polyhedron. The property leads to a simple sufficient condition for Lipschitz continuity of a locally unique solution of parametric variational inequalities with a moving polyhedral constraint set. Applications of these results to traffic network equilibrium problems are given in detail.

MSC 2000:: *90C31 Sensitivity, etc.
90C20 Quadratic programming

Keywords: metric projection; sufficient condition for Lipschitz continuity; locally unique solution; parametric variational inequalities; traffic network equilibrium

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]