Equivalents of an approximate variational principle for vector-valued functions and applications

	Equivalents of an approximate variational principle for vector-valued functions and applications
	Chen, GY ; Huang, XX ; Lee, GM
刊名	MATHEMATICAL METHODS OF OPERATIONS RESEARCH
	1999
卷号	49 期号:1 页码:125-136
关键词	half distance vector variational principle fixed point of set-valued mappings directional contraction
ISSN号	1432-2994
英文摘要	In [1], we gave a unified variational principle for vector valued functions. In this paper, we give four equivalents of a corollary of this principle, generalizing the equivalence results of [3] to the vector case and improving the equivalence results of [5]. We also applied one of the equivalents to derive the vector form of the "Drop Theorem" ([3]). Applying the unified variational principle, we obtained a fixed point theorem for directional contractions as an application of our vector variational principle, generalizing a fixed point theorem for directional contractions in [9].
WOS研究方向	Operations Research & Management Science ; Mathematics
语种	英语
出版者	PHYSICA VERLAG GMBH
WOS记录号	WOS:000079152400007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/14393]
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, GY
作者单位	1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Pukyong Natl Univ, Dept Appl Math, Pusan 608739, South Korea
推荐引用方式 GB/T 7714	Chen, GY,Huang, XX,Lee, GM. Equivalents of an approximate variational principle for vector-valued functions and applications[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH,1999,49(1):125-136.
APA	Chen, GY,Huang, XX,&Lee, GM.(1999).Equivalents of an approximate variational principle for vector-valued functions and applications.MATHEMATICAL METHODS OF OPERATIONS RESEARCH,49(1),125-136.
MLA	Chen, GY,et al."Equivalents of an approximate variational principle for vector-valued functions and applications".MATHEMATICAL METHODS OF OPERATIONS RESEARCH 49.1(1999):125-136.