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higherorderdualityforaclassofnondifferentiablemultiobjectiveprogrammingproblemsinvolvinggeneralizedtypeiandrelatedfunctions
Mishra S K1; Wang Shouyang2; Lai Kin Keung3
2011
发表期刊journalofsystemsscienceandcomplexity
ISSN1009-6124
卷号024期号:005页码:883
摘要This paper extends the class of generalized type I functions introduced by Aghezzaf and Hachimi(2000) to the context of higher-order case and formulate a number of higher-order duals to a non-differentiable multi-objective programming problem and establishes higher-order duality results under the higher-order generalized type I functions introduced in the present paper, A special case that appears repeatedly in the literature is that the support function is the square root of a positive semi-definite quadratic form. This and other special cases can be readily generated from these results.
语种英语
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/39085
专题系统科学研究所
作者单位1.Department of Mathematics, Faculty of Science Banaras Hindu University,India
2.中国科学院数学与系统科学研究院
3.香港城市大学
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GB/T 7714
Mishra S K,Wang Shouyang,Lai Kin Keung. higherorderdualityforaclassofnondifferentiablemultiobjectiveprogrammingproblemsinvolvinggeneralizedtypeiandrelatedfunctions[J]. journalofsystemsscienceandcomplexity,2011,024(005):883.
APA Mishra S K,Wang Shouyang,&Lai Kin Keung.(2011).higherorderdualityforaclassofnondifferentiablemultiobjectiveprogrammingproblemsinvolvinggeneralizedtypeiandrelatedfunctions.journalofsystemsscienceandcomplexity,024(005),883.
MLA Mishra S K,et al."higherorderdualityforaclassofnondifferentiablemultiobjectiveprogrammingproblemsinvolvinggeneralizedtypeiandrelatedfunctions".journalofsystemsscienceandcomplexity 024.005(2011):883.
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