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Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions
Mishra, S. K.2; Wang, S. Y.1; Lai, K. K.3
2008-06-01
发表期刊MATHEMATICAL METHODS OF OPERATIONS RESEARCH
ISSN1432-2994
卷号67期号:3页码:493-504
摘要A nonsmooth multiobjective optimization problem involving generalized (F, alpha, rho, d)-type I function is considered. Karush-Kuhn-Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Duality results are obtained for mixed type dual under the aforesaid assumptions.
关键词nonsmooth multiobjective optimization efficient solution type I functions generalized convexity mixed duality
DOI10.1007/s00186-007-0202-9
语种英语
WOS研究方向Operations Research & Management Science ; Mathematics
WOS类目Operations Research & Management Science ; Mathematics, Applied
WOS记录号WOS:000256081200009
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/6016
专题系统科学研究所
通讯作者Wang, S. Y.
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, 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.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China
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GB/T 7714
Mishra, S. K.,Wang, S. Y.,Lai, K. K.. Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH,2008,67(3):493-504.
APA Mishra, S. K.,Wang, S. Y.,&Lai, K. K..(2008).Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions.MATHEMATICAL METHODS OF OPERATIONS RESEARCH,67(3),493-504.
MLA Mishra, S. K.,et al."Optimality and duality for a nonsmooth multiobjective optimization involving generalized type I functions".MATHEMATICAL METHODS OF OPERATIONS RESEARCH 67.3(2008):493-504.
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