Generalized minimax inequalities for set-valued mappings

doi:10.1016/S0022-247X(03)00197-5

CSpace

	Generalized minimax inequalities for set-valued mappings
	Li, SJ ; Chen, GY ; Teo, KL ; Yang, XQ
	2003-05-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	281 期号:2 页码:707-723
摘要	In this paper, we study generalized minimax inequalities in a Hausdorff topological vector space, in which the minimization and the maximization of a two-variable set-valued mapping are alternatively taken in the sense of vector optimization. We establish two types of minimax inequalities by employing a nonlinear scalarization function and its strict monotonicity property. Our results are obtained under weaker convexity assumptions than those existing in the literature. Several examples are given to illustrate our results. (C) 2003 Elsevier Science (USA). All rights reserved.
关键词	minimax inequality set-valued mapping minimal point maximal point nonlinear scalarization function
DOI	10.1016/S0022-247X(03)00197-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000183591300023
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/18521
专题	中国科学院数学与系统科学研究院
通讯作者	Li, SJ
作者单位	1.Chongqing Univ, Coll Sci, Dept Informat & Comp Sci, Chongqing 400044, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Li, SJ,Chen, GY,Teo, KL,et al. Generalized minimax inequalities for set-valued mappings[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,281(2):707-723.
APA	Li, SJ,Chen, GY,Teo, KL,&Yang, XQ.(2003).Generalized minimax inequalities for set-valued mappings.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,281(2),707-723.
MLA	Li, SJ,et al."Generalized minimax inequalities for set-valued mappings".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 281.2(2003):707-723.