Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions
文献类型：期刊论文
| 作者 | Mishra, S. K.1; Wang, Shouyang2 ; Lai, Kin Keung3
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| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2011-10-01 |
| 卷号 | 24期号:5页码:883-891 |
| 关键词 | Generalized convexity higher order duality non-differentiable nonlinear programming support function |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-011-8358-z |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000295576700006 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11677]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Mishra, S. K. |
| 作者单位 | 1.Banaras Hindu Univ, Fac Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China 3.City Univ Hong Kong, Dept Management Sci, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mishra, S. K.,Wang, Shouyang,Lai, Kin Keung. Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2011,24(5):883-891. |
| APA | Mishra, S. K.,Wang, Shouyang,&Lai, Kin Keung.(2011).Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,24(5),883-891. |
| MLA | Mishra, S. K.,et al."Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 24.5(2011):883-891. |
入库方式： OAI收割
来源：数学与系统科学研究院
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