| 不完全拉格朗日函数和具有（F，α,ρ，d）凸性的数学规划的鞍点判别准则 |
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| 引用本文： | 梁治安,;雷晓军,;王燕军. 不完全拉格朗日函数和具有（F，α,ρ，d）凸性的数学规划的鞍点判别准则[J]. 运筹学杂志, 2007, 0(1): 66-72 |
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| 作者姓名： | 梁治安, 雷晓军, 王燕军 |
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| 作者单位： | [1]上海财经大学应用数学系,上海200433; [2]贵州师范大学铜仁学院数学系,贵州铜仁554300 |
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| 基金项目： | The research is supported by National Natural Science Foundation of China under Projects 10261005 and 10601030. |
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| 摘 要： | 用一个不完全拉格朗日函数研究一类具有（F,α,ρ，d）凸性假设的非线性规划问题的鞍点最优性判别准则，为了得到最优解与鞍点之间的关系，给出了（F,α,ρ，d）凸性中参数所要满足的条件．
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| 关 键 词： | 运筹学 不完全拉格朗日函数 鞍点 (F,α,ρ, d)凸 最优解 |
Incomplete Lagrange Function and Saddle Point Optimality Criteria in Mathematical Programming Involving （F, α,ρ, d）-Convexity |
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| Affiliation: | Liang Zhian,Lei Xiaojun, Wang Yanjun( Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China;Department of Mathematics, College of Tongren, Guizhou Normal University, Tongren, Guizhou 554300, China) |
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| Abstract: | An incomplete Lagrange function is used to study saddle point optimality criteria for a class of nonlinear programming problems involving （F,α,ρ, d）-convexity assumptions. Conditions for the parameters of （F, α,ρ, d）-convexity are given to establish the relationship between optimal solution and saddle points. |
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| Keywords: | Operation research incomplete Lagrange function saddle point （F α ρ d）-convex optimal solution |
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