| 广义凸规划的最优性条件 |
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| 引用本文： | 王艳.广义凸规划的最优性条件[J].内江师范学院学报,2009,24(10):30-32. |
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| 作者姓名： | 王艳 |
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| 作者单位： | 重庆师范大学数学与计算机科学学院,重庆,400047 |
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| 摘 要： | 把多目标规划问题转化为单目标规划问题，利用强伪不变凸函数和强拟不变凸函数，得出了在K-T条件下多目标规划问题（VP）（弱）有效解存在的存在性定理，并给出了相应的证明．
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| 关 键 词： | 强伪不变凸函数 强拟不变凸函数 多目标规划 |
The Optimality Conditions for Generalized Convex Programming |
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| WANG Yan.The Optimality Conditions for Generalized Convex Programming[J].Journal of Neijiang Teachers College,2009,24(10):30-32. |
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| Authors: | WANG Yan |
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| Institution: | WANG Yan (College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China) |
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| Abstract: | Through transformation of multi-objective programming problem into a single-objective programming problem and by use of strong pseudo-invariant convex function and strong quasi-invariant convex function, an efficient-solution existence theorem for the multi-objective programming problem（VP） under the Kuhn-Tucher condition is obtained and proven valid. |
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| Keywords: | strong pseudo-invariant convex function strong quasi-invariant convex function multi-objective programming |
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