| 用集合来研究预不变凸函数 |
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| 引用本文： | 焦合华. 用集合来研究预不变凸函数[J]. 沈阳师范大学学报(自然科学版), 2007, 25(2): 153-155 |
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| 作者姓名： | 焦合华 |
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| 作者单位： | 长江师范学院,数学系,重庆,涪陵,408003 |
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| 摘 要： | 函数的凸性与广义凸性在数学规划以及最优化理论中起着非常重要的作用.首先,根据预不变凸函数的概念构造了一个集合A;其次,通过研究集合A的闭性,近似凸性和稠性,在较弱的下半连续条件下,得到了预不变凸函数的一个等价条件.
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| 关 键 词： | 近似凸集 不变凸集 闭集 预不变凸函数 下半连续 |
| 文章编号： | 1673-5862(2007)02-0153-03 |
| 修稿时间： | 2006-06-07 |
Study Preinvex Functions by Using Sets |
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| JIAO He-hua. Study Preinvex Functions by Using Sets[J]. Journal of Shenyang Normal University(Natural Science Edition), 2007, 25(2): 153-155 |
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| Authors: | JIAO He-hua |
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| Affiliation: | Department of Mathematics, Yangtze Normal University, Fuling 408003, China |
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| Abstract: | Convexity and generalized convexity of functions play an important role in mathematical programming and optimal theory.Firstly,based on the definition of preinvex function,a set A is constructed.Secondly,by studying its closedness,nearly convexity and density,one equivalent condition of preinvex function is derived,under weaker lower semi continuity. |
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| Keywords: | nearly convex sets invex sets closed sets preinvex functions lower semi continuity |
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