Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions

doi:10.1007/s11424-011-8358-z

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	Higher-order duality for a class of nondifferentiable multiobjective programming problems involving generalized type I and related functions
	Mishra, S. K.1; Wang, Shouyang2 ; Lai, Kin Keung 3
	2011-10-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	24 期号:5 页码:883-891
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.
关键词	Generalized convexity higher order duality non-differentiable nonlinear programming support function
DOI	10.1007/s11424-011-8358-z
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000295576700006
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11678
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.