Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems

doi:10.1016/j.jmaa.2006.11.054

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	Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems
	Mishra, S. K.; Wang, S. Y.; Lai, K. K.
	2007-09-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	333 期号:2 页码:1093-1110
摘要	We introduce a symmetric dual pair for a class of nondifferentiable multi-objective fractional variational problems. Weak, strong, converse and self duality relations are established under certain invexity assumptions. The paper includes extensions of previous symmetric duality results for multi-objective fractional variational problems obtained by Kim, Lee and Schaible [D.S. Kim, W.J. Lee, S. Schaible, Symmetric duality for invex multiobjective fractional variational problems, J. Math. Anal. Appl. 289 (2004) 505-521] and symmetric duality results for the static case obtained by Yang, Wang and Deng [X.M. Yang, S.Y. Wang, X.T. Deng, Symmetric duality for a class of multiobjective fractional programming problems, J. Math. Anal. Appl. 274 (2002) 279-2951 to the dynamic case. (c) 2006 Elsevier Inc. All rights reserved.
关键词	nonlinear programming symmetric duality variational problems generalized convexity
DOI	10.1016/j.jmaa.2006.11.054
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000247573200040
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4156
专题	中国科学院数学与系统科学研究院
通讯作者	Mishra, S. K.
作者单位	1.Govind Ballabh Pant Univ Agr & Technol, Dept Math Stat & Comp Sci, Coll Basic Sci & Human, Pantnagar 263145, Uttar Pradesh, India 2.City Univ Hong Kong, Kowloon, Hong Kong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 1000800, Peoples R China 4.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Mishra, S. K.,Wang, S. Y.,Lai, K. K.. Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,333(2):1093-1110.
APA	Mishra, S. K.,Wang, S. Y.,&Lai, K. K..(2007).Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,333(2),1093-1110.
MLA	Mishra, S. K.,et al."Symmetric duality for a class of nondifferentiable multi-objective fractional variational problems".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 333.2(2007):1093-1110.