| 半严格不变凸函数 |
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| 引用本文： | 刘彩平. 半严格不变凸函数[J]. 运筹学学报, 2007, 11(4): 85-92 |
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| 作者姓名： | 刘彩平 |
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| 作者单位： | 齐齐哈尔大学数学系,齐齐哈尔,161006;重庆师范大学数学与计算机科学学院,重庆,400047 |
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| 基金项目： | 国家自然科学基金;教育部跨世纪优秀人才培养计划 |
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| 摘 要： | 文章在Banach空间中定义了一种新的广义凸函数—半严格不变凸函数.对于满足局部Lipschitz条件的半严格不变凸函数,得到了它的广义Clarke次微分性质.文中还讨论了半严格不变凸函数与不变凸函数及半严格预不变凸函数之间的关系,得到了半严格不变凸函数的一些性质.
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| 关 键 词： | 运筹学 不变凸函数 半严格不变凸函数 半严格预不变凸函数 |
| 收稿时间： | 2006-10-20 |
| 修稿时间： | 2006-10-20 |
Semistrictly Invex Functions |
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| Liu Caiping. Semistrictly Invex Functions[J]. OR Transactions, 2007, 11(4): 85-92 |
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| Authors: | Liu Caiping |
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| Abstract: | In this paper, a new class of generalized convex functions in Banach Space, termed semistrictly invex functions, is introduced. Under the condition of locally Lipschitz, the characterizations of semistrictly invex functions corresponding Clarke's subdif-ferential are given. The relationships are investigated between semistrictly invex functions and invex functions the relationship, between semistrictly invex functions and semistrictly preinvex functions are also discussed. Some properties of semistrictly invex functions are obtained. |
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| Keywords: | Operations research invex functions semistrictly invex functions semi-strictly preinvex functions |
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