| 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].运筹学学报,2007,11(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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| 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 α ρ |
| 修稿时间： | 2006-05-09 |
Incomplete Lagrange Function and Saddle Point Optimality Criteria in Mathematical Programming Involving (F,α,ρ,d)-Convexity |
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| Liang Zhian,Lei Xiaojun,Wang Yanjun.Incomplete Lagrange Function and Saddle Point Optimality Criteria in Mathematical Programming Involving (F,α,ρ,d)-Convexity[J].OR Transactions,2007,11(1):66-72. |
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| Authors: | Liang Zhian Lei Xiaojun Wang Yanjun |
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| Institution: | 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 d)-convex optimal solution |
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