摘要
In this paper,the image space analysis (for short,ISA) is employed to investigate variational in- equalities (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 func- tion.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 investi- gated.Finally,the obtained results are applied to standard and time-dependent traffic equilibria introduced by Daniele,Maugeri and Oettli.
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.
基金
supported by National Natural Science Foundation of China (Grants Nos. 60804065, 70831005)
the Key Project of Chinese Ministry of Education (Grant No. 211163)
Sichuan Youth Science and Technology Foundation and the Research Foundation of China West Normal University (Grant No. 08B075)
