{"title":"Levitin-Polyak well-posedness for systems of time-dependent variational-hemivariational inequalities","authors":"Huamin Luo, Chang-jie Fang","doi":"10.1117/12.2679215","DOIUrl":null,"url":null,"abstract":"In the article, at the first, the new notion of LP well-posedness has been generalized in the paper. the LP well-posedness is related to a approximate function ℎ1(𝜀, 𝑢) and ℎ2(𝜀, 𝑢) rather than simple parameter 𝜀. And so as to to discuss the LP well-posedness, then some different metric characterizations of LP well-posedness was established and approximating solution set was constructed. In the end some equivalence results of strong LP well-posedness (resp., in the generalized sense) is proved.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference on Pure, Applied, and Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.2679215","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In the article, at the first, the new notion of LP well-posedness has been generalized in the paper. the LP well-posedness is related to a approximate function ℎ1(𝜀, 𝑢) and ℎ2(𝜀, 𝑢) rather than simple parameter 𝜀. And so as to to discuss the LP well-posedness, then some different metric characterizations of LP well-posedness was established and approximating solution set was constructed. In the end some equivalence results of strong LP well-posedness (resp., in the generalized sense) is proved.
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