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-EquilibriumProblems with Cone Constraints

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

Abstract: A new generalized nonlinear separation scheme of quasi-equilibrium problems with cone constraints was established by the image space analysis method, and the Lagrangian saddle point conditions and optimality conditions of quasi-equilibrium 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