具有不变凸多目标规划的η-近似方法Anη-approximation method for multiobjective program involving invex functions
闫春雷;冯宝成;
摘要(Abstract)：
建立了与多目标规划问题等价的η-近似多目标规划问题;对η-近似多目标规划问题引入η-拉格朗日函数和η-鞍点,并给出了η-鞍点与原多目标规划问题有效解之间的关系。
关键词(KeyWords)： η-近似多目标规划问题;η-鞍点;η-拉格朗日函数;不变凸;有效解
基金项目(Foundation):
作者(Authors): 闫春雷;冯宝成;
参考文献(References)：
- [1]Hanson M A.On sufficiency of the Kuhn-Tucker conditions[J].Journal of Mathematical Analysis and Appli-cations,1981,80:545-550.
- [2]Craven B D.Invex functions and constrained local minima[J].Bul.Austral.Math.Soc.,1981,24:357-366.
- [3]Antczak T.An approximation approach to nonlinear mathematical programming involving invex functions[J].Numerial Functional Analysis and Optimization,2004,25:423-438.
- [4]Antczak T.Saddle-point criteria in an approximation method for nonlinear mathematical programmingproblems involving invex functions[J].Journal of Optimization Theory and Applications,2007,132(1):71-87.
- [5]Maeda T.Constraint qualifications in multiobjective optimization problems:differentiable case[J].Journalof Optimization Theory and Applications,1994,80:483-500.