Nondifferentiable multiobjective programming under generalized d-univexity

doi:10.1016/S0377-2217(03)00439-9

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	Nondifferentiable multiobjective programming under generalized d-univexity
	Mishra, SK ; Wang, SY ; Lai, KK
	2005
发表期刊	EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
ISSN	0377-2217
卷号	160 期号:1 页码:218-226
摘要	In this paper, we are concerned with a nondifferentiable multiobjective programming problem with inequality constraints. We introduce four new classes of generalized convex functions by combining the concepts of weak strictly pseudoinvex, strong pseudoinvex, weak quasi invex, weak pseudoinvex and strong quasi invex functions in Aghezzaf and Hachimi [Numer. Funct. Anal. Optim. 22 (2001) 775], d-invex functions in Antczak [Europ. J. Oper. Res. 137 (2002) 28] and univex functions in Bector et al. [Univex functions and univex nonlinear programming, Proc. Admin. Sci. Assoc. Canada, 1992, p. 115]. By utilizing the new concepts, we derive a Karush-Kuhn-Tucker sufficient optimality condition and establish Mond-Weir type and general Mond-Weir type duality results for the nondifferentiable multiobjective programming problem. (C) 2003 Elsevier B.V. All rights reserved.
关键词	multiobjective programming optimality duality pareto efficient solution generalized d-univexity
DOI	10.1016/S0377-2217(03)00439-9
语种	英语
WOS研究方向	Business & Economics ; Operations Research & Management Science
WOS类目	Management ; Operations Research & Management Science
WOS记录号	WOS:000224168600016
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2049
专题	中国科学院数学与系统科学研究院
通讯作者	Lai, KK
作者单位	1.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China 2.Govind Ballabh Pant Univ Agr & Technol, Coll Basic Sci & Humanities, Dept Math Stat & Comp Sci, Pantnagar 263145, Uttar Pradesh, India 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Mishra, SK,Wang, SY,Lai, KK. Nondifferentiable multiobjective programming under generalized d-univexity[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH,2005,160(1):218-226.
APA	Mishra, SK,Wang, SY,&Lai, KK.(2005).Nondifferentiable multiobjective programming under generalized d-univexity.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH,160(1),218-226.
MLA	Mishra, SK,et al."Nondifferentiable multiobjective programming under generalized d-univexity".EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 160.1(2005):218-226.