Sufficiency and duality of fractional integral programming with generalized invexity

被引:4
|
作者
Lai, Hang-Chin [1 ]
机构
[1] Chung Yuan Christian Univ, Dept Math, Chungli 320, Taiwan
[2] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2006年 / 10卷 / 06期
关键词
nondifferentiable fractional variational programming; invexity; quasi-invexity; pseudoinvexity; duality;
D O I
10.11650/twjm/1500404583
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Convexity assumptions for fractional programming of variational type are relaxed to generalized invexity. The sufficient optimality conditions are employed to construct a mixed dual programming problem. It will involve the Wolfe type dual and Mond-Weir type dual as its special situations. Several duality theorems concerning weak, strong, and strict converse duality Under the framework in mixed type dual form are proved.
引用
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页码:1685 / 1695
页数:11
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