On the stability of projected dynamical system for generalized variational inequality with hesitant fuzzy relation | |
Xie, Ting1,2; Li, Dapeng1 | |
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. |
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