First- and second-order optimality conditions for multiobjective fractional programming (vol 23, pg 419, 2015)

被引：0
|
作者：
Khanh, P. Q. [1 ]
Tung, L. T. [2 ]
机构：
[1] Vietnam Natl Univ Hochiminh City, Int Univ, Dept Math, Hochiminh City, Vietnam
[2] Cantho Univ, Dept Math, Coll Nat Sci, Can Tho, Vietnam
来源：
TOP | 2015年 / 23卷 / 02期
关键词：
Asymptotical pointwise compactness; Firm solutions; First and second-order approximations; Multiobjective fractional programming; Optimality conditions; Weak solutions;
D O I：
10.1007/s11750-015-0379-7
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider nonsmooth multiobjective fractional programming on normed spaces. Using first- and second-order approximations as generalized derivatives, first- and second-order optimality conditions are established. Unlike the existing results, we avoid completely convexity assumptions. Our results can be applied even in infinite-dimensional cases, involving non-Lipschitz maps.
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页码：618 / 618
页数：1
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