{"title":"分裂变分不等式系统的强适定性","authors":"M. Shams, M. Oveisiha, A. Abkar","doi":"10.36045/j.bbms.190912","DOIUrl":null,"url":null,"abstract":"In this paper, we consider a generalization of well-posedness for a class of split multi-valued variational inequalities and establish some metric characterizations for them. Moreover, we show that the existence and uniqueness of solution for a split multi-valued variational inequality is equivalent to the strong well-posedness.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Strong well-posedness of a system of split variational inequalities\",\"authors\":\"M. Shams, M. Oveisiha, A. Abkar\",\"doi\":\"10.36045/j.bbms.190912\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider a generalization of well-posedness for a class of split multi-valued variational inequalities and establish some metric characterizations for them. Moreover, we show that the existence and uniqueness of solution for a split multi-valued variational inequality is equivalent to the strong well-posedness.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2020-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.36045/j.bbms.190912\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.36045/j.bbms.190912","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Strong well-posedness of a system of split variational inequalities
In this paper, we consider a generalization of well-posedness for a class of split multi-valued variational inequalities and establish some metric characterizations for them. Moreover, we show that the existence and uniqueness of solution for a split multi-valued variational inequality is equivalent to the strong well-posedness.
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