| 一致不变凸函数的判别准则 |
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| 引用本文： | 张芳,赵克全. 一致不变凸函数的判别准则[J]. 松辽学刊, 2007, 28(4): 20-22,40 |
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| 作者姓名： | 张芳 赵克全 |
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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： | 在文献[1]中，作者在上半连续和下半连续的条件下，给出了一致不变凸函数的几个判别准则．本文在更弱的条件下证明了相应的结果．此外，由于在菲线性规划算法中经常要求目标函数是可微的，故本文给出了可微一致不变凸函数的一个判别准则．
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| 关 键 词： | 不变凸集 一致凸函数 一致不变凸函数 半连续性 |
| 文章编号： | 1000-1840-（2007）04-0020-03 |
| 收稿时间： | 2007-10-11 |
| 修稿时间： | 2007-10-11 |
Criteria of Uniformly Invex Functions |
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| ZHANG Fang. Criteria of Uniformly Invex Functions[J]. Songliao Journal (Natural Science Edition), 2007, 28(4): 20-22,40 |
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| Authors: | ZHANG Fang |
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| Affiliation: | ZHANG Fang ( College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China) |
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| Abstract: | In Ref. 1, the author presented some criteria of uniformly invex functions under the conditions of upper semicontinuity and lower semicontinuity. In tiffs note, I show that the same results can be obtained under weaker assumptions. In addition, because the differentiability of objective functions is always needed in nonlinear programming algorithms, a criterion of differentiable uni- formly invex functions is presemed. |
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| Keywords: | invex set uniformly functions uniformly invex functions semicontinuity |
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