Image space analysis for variational inequalities with cone constraints and applications to traffic equilibria

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2012,（4）
• 页码范围: 851-868
• 页数: 18页
• 语种: 英文
• DOI: 10.1007/sl1425-011-4287-5

摘要

In this paper,the image space analysis (for short,ISA) is employed to investigate variational inequalities (for short,Ⅵ) with cone constraints.Linear separation for Ⅵ with cone constraints is characterized by using the normal cone to a regularization of the image,and saddle points of the generalized Lagrangian function.Lagrangian-type necessary and sufficient optimality conditions for Ⅵ with cone constraints are presented by using a separation theorem.Gap functions and weak sharpness for Ⅵ with cone constraints are also investigated.Finally,the obtained results are applied to standard and time-dependent traffic equilibria introduced by Daniele,Maugeri and Oettli.