Lipschitz Continuity Results for a Class of Variational Inequalities and Applications: A Geometric Approach

被引：8

作者：

Causa, A. ^{[1
]}

Raciti, F. ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2010年 / 145卷 / 02期

关键词：

Variational inequalities; Monotonicity; Network equilibrium problems; Sensitivity analysis; Lipschitz continuity; Polytopes;

D O I：

10.1007/s10957-009-9622-4

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider a class of parametric variational inequalities which, under suitable assumptions, admit an equivalent integral formulation. We study the Lipschitz continuity of the solution and treat in detail the case in which the parametric constraint set is a polytope. Finally, the results obtained are applied to the time-dependent traffic equilibrium problem.

引用

页码：235 / 248

页数：14

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