| B-（p，r）-不变凸性下广义分式规划的鞍点存在性定理 |
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| 引用本文： | 童子双.B-（p，r）-不变凸性下广义分式规划的鞍点存在性定理[J].浙江师范大学学报(自然科学版),2008,31(2):136-140. |
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| 作者姓名： | 童子双 |
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| 作者单位： | 金华职业技术学院,师范学院,浙江,金华,321017 |
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| 摘 要： | 对于一类目标函数中有无限个分式的广义分式规划，讨论了其最优性充分条件；给出了2个不完全Lagrange函数，并利用已有的最优性必要条件，在B-（p，r）-不变凸性的条件下，证明了鞍点最优性准则．
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| 关 键 词： | 广义分式规划 充分条件 不完全Lagrange函数 鞍点 B-(p r)-不变凸 |
| 文章编号： | 1001-5051(2008)02-0136-05 |
| 修稿时间： | 2008年1月12日 |
Saddle-point type optimality criteria for a class of generalized fractional programming with B- (p, r ) -invexity functions |
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| TONG Zishuang.Saddle-point type optimality criteria for a class of generalized fractional programming with B- (p, r ) -invexity functions[J].Journal of Zhejiang Normal University Natural Sciences,2008,31(2):136-140. |
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| Authors: | TONG Zishuang |
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| Institution: | TONG Zishuang( Normal School of Jinhua College of Professional and Technology, Jinhua Zhejiang 321017, China ) |
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| Abstract: | For a class of generalized fractional programming whose objective function was composed of infinite fractions, a sugicient condition was presented and two incomplete lagrange functions were given. The saddlepoint type optimality criteria were proved by using the existing necessary conditions, under the assumption of the class of B-（ p, r） -invexity. |
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| Keywords: | generalized fractional programming sufficient condition incomplete lagrange function saddlepoint B- （ p r） -invexity |
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