| 强拟alpha-预不变凸函数 |
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| 引用本文： | 王海英,符祖峰. 强拟alpha-预不变凸函数[J]. 运筹学学报, 2015, 19(1): 77-84 |
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| 作者姓名： | 王海英 符祖峰 |
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| 作者单位： | 1. 安顺学院数理学院, 贵州安顺 561000 |
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| 基金项目： | 国家自然科学青年基金(No. 61304146)，贵州省高校优秀科技创新人才支持计划资助项目(黔教合KY字[2012]101号)，贵州省科技厅、安顺市人民政府、安顺学院三方联合基金(黔科合J字LKA[2013]19号) |
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| 摘 要： | 研究了一类重要的广凸函数------强拟$alpha$-预不变凸函数，讨论了它与拟,$alpha$-预不变凸函数、严格拟,$alpha$-预不变凸函数及半严格拟,$alpha$-预不变凸函数之间的关系，并在中间点的强拟,$alpha$-预不变凸性下得到了它的三个重要的性质定理，同时给出了强拟,$alpha$-预不变凸函 数在数学规划中的两个重要应用，这些结果在一定程度上完善了对强拟,$alpha$-预不变凸函数的研究.
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| 收稿时间： | 2013-12-11 |
The strongly quasi alpha-preinvex functions |
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| WANG Haiying,FU Zufeng. The strongly quasi alpha-preinvex functions[J]. OR Transactions, 2015, 19(1): 77-84 |
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| Authors: | WANG Haiying FU Zufeng |
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| Affiliation: | 1. School of Mathematics and Physics, Anshun University, Anshun Guizhou 561000, China |
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| Abstract: | In this paper, one important type of generalized convex functions termed as strongly quasi $alpha$-preinvex functions is studied. The relationships among strongly quasi $alpha$-preinvex functions and quasi $alpha$-preinvex functions, and strictly quasi $alpha$-preinvex functions and semistrictly quasi $alpha$-preinvex functions have been discussed. Three important theorems of properties have been obtained for it on the middle point strongly quasi $alpha$-preinvexity. We also present two important applications in terms of strongly quasi $alpha$-preinvex functions in mathematical programming. These results complete the researches for the strongly quasi $alpha$-preinvex functions to some extent. |
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| Keywords: | strongly quasi $alpha$-preinvex functions quasi $alpha$-preinvex functions strictly quasi $alpha$-preinvex functions semistrictly quasi $alpha$-preinvex functions |
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