On the stability of projected dynamical system for generalized variational inequality with hesitant fuzzy relation

doi:10.3934/math.2020455

	On the stability of projected dynamical system for generalized variational inequality with hesitant fuzzy relation
	Xie, Ting 1,2; Li, Dapeng 1
刊名	AIMS MATHEMATICS
	2020
卷号	5 期号:6 页码:7107-7121
关键词	generalized variational inequalities hesitant fuzzy relations level sets projection methods Lyapunov stability
DOI	10.3934/math.2020455
通讯作者	Xie, Ting(xietingr@163.com)
英文摘要	In this paper, we investigate the projected dynamical system associated with the generalized variational inequality with hesitant fuzzy relation. We establish the equivalence between the generalized variational inequality with hesitant fuzzy relation and the fuzzy fixed point problem. And we analyze the existence theorem and iterative algorithm of solutions to such problem. Furthermore, using the projection method, we propose a projection neural network for solving the generalized variational inequality with hesitant fuzzy relation and discuss the stability of the proposed projected dynamical system.
资助项目	Strategic Priority Research Program of Chinese Academy of Sciences[XDA21010202]
WOS关键词	COMPLEMENTARITY-PROBLEMS ; SEQUENCE
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000576304500022
资助机构	Strategic Priority Research Program of Chinese Academy of Sciences
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/139708]
专题	中国科学院近代物理研究所
通讯作者	Xie, Ting
作者单位	1.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China 2.Northwest Normal Univ, Coll Social Dev & Publ Adm, Lanzhou 730070, Peoples R China
推荐引用方式 GB/T 7714	Xie, Ting,Li, Dapeng. On the stability of projected dynamical system for generalized variational inequality with hesitant fuzzy relation[J]. AIMS MATHEMATICS,2020,5(6):7107-7121.
APA	Xie, Ting,&Li, Dapeng.(2020).On the stability of projected dynamical system for generalized variational inequality with hesitant fuzzy relation.AIMS MATHEMATICS,5(6),7107-7121.
MLA	Xie, Ting,et al."On the stability of projected dynamical system for generalized variational inequality with hesitant fuzzy relation".AIMS MATHEMATICS 5.6(2020):7107-7121.