Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  will study optimality conditions of semi-infinite programs and generalized semi-infinite programs by employing lor order exact penalty functions and the condition that the generalized second-order directional derivative of the constraint function at the candidate point along any feasible direction for the linearized constraint set is non-positive.  consider three types of penalty functions for semi-infinite program and investigate the relationship among the exactness of these penalty functions.  employ lor order integral exact penalty functions and the second-order generalized derivative of the constraint function to establish optimality conditions for semi-infinite programs.  adopt the exact penalty function technique in terms of a classical augmented Lagrangian function for the lor-level problems of generalized semi-infinite programs to transform them into standard semi-infinite programs and then apply our results for semi-infinite programs to derive the optimality condition for generalized semi-infinite programs.  will give various examples to illustrate our results and assumptions.
['Xiaoqi Yang', 'Zhangyou Chen', 'Jinchuan Zhou']
I am writing a research paper on a idea Optimality Conditions for Semi-Infinite and Generalized Semi-Infinite Programs Via Lower Order Exact Penalty Functions
[{"from": "human", "value": "I am writing a research paper on a idea Optimality Conditions for Semi-Infinite and Generalized Semi-Infinite Programs Via Lower Order Exact Penalty Functions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  will study optimality conditions of semi-infinite programs and generalized semi-infinite programs by employing lor order exact penalty functions and the condition that the generalized second-order directional derivative of the constraint function at the candidate point along any feasible direction for the linearized constraint set is non-positive.  consider three types of penalty functions for semi-infinite program and investigate the relationship among the exactness of these penalty functions.  employ lor order integral exact penalty functions and the second-order generalized derivative of the constraint function to establish optimality conditions for semi-infinite programs.  adopt the exact penalty function technique in terms of a classical augmented Lagrangian function for the lor-level problems of generalized semi-infinite programs to transform them into standard semi-infinite programs and then apply our results for semi-infinite programs to derive the optimality condition for generalized semi-infinite programs.  will give various examples to illustrate our results and assumptions."}]