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

文献类型：期刊论文

作者Xie, Ting1,2; Li, Dapeng1
刊名AIMS MATHEMATICS
出版日期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
DOI10.3934/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.
WOS关键词COMPLEMENTARITY-PROBLEMS ; SEQUENCE
资助项目Strategic Priority Research Program of Chinese Academy of Sciences[XDA21010202]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000576304500022
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
资助机构Strategic Priority Research Program of Chinese Academy of Sciences
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.

入库方式： OAI收割

来源：近代物理研究所

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