基于改进集的参数集优化问题Lipschitz连续性OA

The Lipschitz continuity of parameter set optimization problems for a class of improved sets in topological linear spaces is studied.Using the set upper(lower)order of improved sets,the solution mapping and the optimal value mapping of the parameter set optimization problems are given.Under the basic assumption of Lipschitz continuity between the objective function and the constraint function,Lipschitz continuity theorems for the solution mapping and the optimal value mapping of the parameter set optimization problems are obtained using the analytical method.Some examples are given to verify the effectiveness of the obtained results.