{"title":"包含松弛Lipschitz算子的广义变分不等式的迭代算法","authors":"Ayache Benhadid","doi":"10.1080/02522667.2022.2027607","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we establish and discuss the existence of a solution of the general variational inequality : Find u ∈ H, and ω ∈ T(u) such that h(u) ∈ K and This variational inequality was studied by Verma [3] in case s ≡ 0, and g ≡ I.","PeriodicalId":46518,"journal":{"name":"JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES","volume":"43 1","pages":"1909 - 1914"},"PeriodicalIF":1.1000,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Iterative algorithms for general variational inequalities involving relaxed Lipschitz operators\",\"authors\":\"Ayache Benhadid\",\"doi\":\"10.1080/02522667.2022.2027607\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, we establish and discuss the existence of a solution of the general variational inequality : Find u ∈ H, and ω ∈ T(u) such that h(u) ∈ K and This variational inequality was studied by Verma [3] in case s ≡ 0, and g ≡ I.\",\"PeriodicalId\":46518,\"journal\":{\"name\":\"JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES\",\"volume\":\"43 1\",\"pages\":\"1909 - 1914\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2022-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/02522667.2022.2027607\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"INFORMATION SCIENCE & LIBRARY SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/02522667.2022.2027607","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"INFORMATION SCIENCE & LIBRARY SCIENCE","Score":null,"Total":0}
Iterative algorithms for general variational inequalities involving relaxed Lipschitz operators
Abstract In this paper, we establish and discuss the existence of a solution of the general variational inequality : Find u ∈ H, and ω ∈ T(u) such that h(u) ∈ K and This variational inequality was studied by Verma [3] in case s ≡ 0, and g ≡ I.
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