On non-smooth alpha-invex functions and vector variational-like inequality

doi:10.1007/s11590-007-0045-6

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	On non-smooth alpha-invex functions and vector variational-like inequality
	Mishra, S. K.2; Wang, S. Y.3 ; Lai, K. K.1
	2008
发表期刊	OPTIMIZATION LETTERS
ISSN	1862-4472
卷号	2 期号:1 页码:91-98
摘要	In this paper, we establish some relationships between vector variational-like inequality and non-smooth vector optimization problems under the assumptions of alpha-invex non-smooth functions. We identify the vector critical points, the weakly efficient points and the solutions of the weak vector variational-like inequality, under non-smooth pseudo-alpha-invexity assumptions. These conditions are more general than those of existing ones in the literature. In particular, this work extends an earlier work of Ruiz-Garzon et al. (J Oper Res 157: 113-119, 2004) to a wider class of functions, namely the non-smooth pseudo-alpha-invex functions. Moreover, this work extends an earlier work of Mishra and Noor (J Math Anal Appl 311: 78-84, 2005) to non-differentiable case.
关键词	Non-differentiable vector optimization Pseudo-alpha-invex functions Vector variational-like inequality
DOI	10.1007/s11590-007-0045-6
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:000261234300007
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/5938
专题	系统科学研究所
通讯作者	Lai, K. K.
作者单位	1.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China 2.GB Pant Univ Agr & Technol, Coll Basic Sci & Humanities, Dept Math Stat & Comp Sci, Pantnagar, Uttar Pradesh, India 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Mishra, S. K.,Wang, S. Y.,Lai, K. K.. On non-smooth alpha-invex functions and vector variational-like inequality[J]. OPTIMIZATION LETTERS,2008,2(1):91-98.
APA	Mishra, S. K.,Wang, S. Y.,&Lai, K. K..(2008).On non-smooth alpha-invex functions and vector variational-like inequality.OPTIMIZATION LETTERS,2(1),91-98.
MLA	Mishra, S. K.,et al."On non-smooth alpha-invex functions and vector variational-like inequality".OPTIMIZATION LETTERS 2.1(2008):91-98.