锥约束下拟均衡问题的非线性分离及鞍点条件  

Nonlinear Separation and Saddle Points for Quasi-Equilibrium Problems with Cone Constraints

作　　者：吕利娟[1] 向国坤[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637009

出　　处：《内江师范学院学报》2014年第6期12-16,共5页Journal of Neijiang Normal University

基　　金：教育部科学技术重点项目(211163)

摘　　要：通过使用像空间分析法建立了锥约束下的拟均衡问题的广义非线性分离性,探讨了锥约束下的拟均衡问题的Lagrangian鞍点条件和最优性条件.在适当条件下,证明了锥约束下的拟均衡问题的Lagrangian鞍点条件和最优性条件等价.A new generalized nonlinear separation scheme of quasi-equilibrium problems with cone constraints was estab- lished by the image space analysis method, and the Lagrangian saddle point conditions and optimality conditions of quasi-equi- librium problems with cone constraints are examined. Under suitable conditions, the equivalence of the Lagrangian saddle point conditions and optimality conditions of quasi-equilibrium problems with cone constraints are proven to be equivalent.

关 键 词：像空间 非线性分离 锥约束 拟均衡问题 

分 类 号：O224[理学—运筹学与控制论]