| 回收函数与函数的性态研究 |
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| 引用本文： | 王炜,袁笑宇,冯雪.回收函数与函数的性态研究[J].汕头大学学报(自然科学版),2012,27(2):1-4. |
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| 作者姓名： | 王炜 袁笑宇 冯雪 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁大连,116029 |
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| 基金项目： | 国家自然科学基金项目资助(11171138) |
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| 摘 要： | 本文通过研究正常凸函数的回收函数,讨论了正常凸函数的回收方向与极小值之间的关系,并得到了函数的性态及极值存在性的刻画.借助回收方向得出了该函数在无约束集合和约束集合上是否取得的极小值的一些相关结果.
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| 关 键 词： | 回收方向 水平集 回收函数 极小值 |
Some Results on Recession Functions and Properties of Functions |
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| WANG Wei,YUAN Xiao-yu,FENG Xue.Some Results on Recession Functions and Properties of Functions[J].Journal of Shantou University(Natural Science Edition),2012,27(2):1-4. |
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| Authors: | WANG Wei YUAN Xiao-yu FENG Xue |
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| Institution: | (School of Mathematics,Liaoning Normal University,Dalian 116029,Liaoning,China) |
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| Abstract: | By studying the recession functions of proper convex functions,the relationship between the recession direction of proper convex function and its minimal value is discussed.The properties of the function and the existence of its minimal value are characterized.At the same time,some corresponding conclusions about the existence of this minimal value on constraint set and unconstraint set are obtained with the help of recession direction. |
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| Keywords: | recession direction level set recession function minimal value |
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