Gap function for set-valued vector variational-like inequalities

doi:10.1007/s10957-008-9401-7

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	Gap function for set-valued vector variational-like inequalities
	Mishra, S. K.1,2; Wang, S. Y.3 ; Lai, K. K.2
	2008-07-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	138 期号:1 页码:77-84
摘要	Variational-like inequalities with set-valued mappings are very useful in economics and nonsmooth optimization problems. In this paper, we study the existence of solutions and the formulation of solution methods for vector variational-like inequalities (VVLI) with set-valued mappings. We introduce gap functions and establish necessary and sufficient conditions for the existence of a solution of the VVLI. We investigate the existence of a solution for the generalized VVLI with a set-valued mapping by exploiting the existence of a solution of the VVLI with a single-valued function and a continuous selection theorem.
关键词	vector variational-like inequalities set-valued mappings gap functions existence of a solution semidefinite programming
DOI	10.1007/s10957-008-9401-7
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:000256431200006
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6174
专题	系统科学研究所
通讯作者	Mishra, S. K.
作者单位	1.Govind Ballabh Pant Univ Agr & Technol, Dept Math & Stat, Coll Basic Sci & Humanities, Pantnagar 263145, Uttar Pradesh, India 2.City Univ Hong Kong, Dept Management Sci, Kowloon, Hong Kong, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Mishra, S. K.,Wang, S. Y.,Lai, K. K.. Gap function for set-valued vector variational-like inequalities[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2008,138(1):77-84.
APA	Mishra, S. K.,Wang, S. Y.,&Lai, K. K..(2008).Gap function for set-valued vector variational-like inequalities.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,138(1),77-84.
MLA	Mishra, S. K.,et al."Gap function for set-valued vector variational-like inequalities".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 138.1(2008):77-84.