| 严格r-预不变凸函数 |
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| 引用本文： | 陈乔. 严格r-预不变凸函数[J]. 纯粹数学与应用数学, 2013, 0(6): 621-626 |
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| 作者姓名： | 陈乔 |
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| 作者单位： | 重庆师范大学生命科学学院,重庆,401331 |
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| 基金项目： | 国家自然科学基金（11201240）. |
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| 摘 要： | 引入了严格r-预不变凸函数的概念，并证明了严格r-预不变凸函数与r-预不变凸函数有关的一个充分条件．同时，讨论得到了严格r-预不变凸性和半严格r-预不变凸性的等价条件．
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| 关 键 词： | r-预不变凸函数 严格r-预不变凸函数 半严格r-预不变凸函数 严格r-凸函数 |
The properties of strictly r-preinvex functions |
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| Chen Qiao. The properties of strictly r-preinvex functions[J]. Pure and Applied Mathematics, 2013, 0(6): 621-626 |
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| Authors: | Chen Qiao |
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| Affiliation: | Chen Qiao (College of Life Sciences, Chongqing Normal University, Chongqing 401331, China) |
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| Abstract: | In this paper, we introduce a new conception of the strictly r-preinvex function and prove some related properties. These properties include a sufficient condition in terms of strict r-preinvexity and r-preinvexity. A new equivalent condition between strict r-preinvexity and semistrict r-preinvexity are also presented |
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| Keywords: | r-preinvex functions strictly r-preinvex functions semistrictly r-preinvex functions strictly r-convex functions |
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