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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
Source PublicationOPTIMIZATION LETTERS
ISSN1862-4472
Volume2Issue:1Pages:91-98
AbstractIn 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.
KeywordNon-differentiable vector optimization Pseudo-alpha-invex functions Vector variational-like inequality
DOI10.1007/s11590-007-0045-6
Language英语
WOS Research AreaOperations Research & Management Science ; Mathematics
WOS SubjectOperations Research & Management Science ; Mathematics, Applied
WOS IDWOS:000261234300007
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/5938
Collection系统科学研究所
Corresponding AuthorLai, K. K.
Affiliation1.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
Recommended Citation
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.
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