{"title":"一种用于变分不等式的惯性平行CQ次梯度法在信号图像恢复中的应用","authors":"Ponkamon Kitisak, W. Cholamjiak, D. Yambangwai","doi":"10.53006/rna.960559","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce an inertial parallel CQ subgradient extragradient method for (cid:28)nding a common solutions of variational inequality problems. The novelty of this paper is using linesearch methods to (cid:28)nd unknown L constant of L -Lipschitz continuous mappings. Strong convergence theorem has been proved under some suitable conditions in Hilbert spaces. Finally, we show applications to signal and image recovery, and show the good e(cid:30)ciency of our proposed algorithm when the number of subproblems is increasing","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"An inertial parallel CQ subgradient extragradient method for variational inequalities application to signal-image recovery\",\"authors\":\"Ponkamon Kitisak, W. Cholamjiak, D. Yambangwai\",\"doi\":\"10.53006/rna.960559\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce an inertial parallel CQ subgradient extragradient method for (cid:28)nding a common solutions of variational inequality problems. The novelty of this paper is using linesearch methods to (cid:28)nd unknown L constant of L -Lipschitz continuous mappings. Strong convergence theorem has been proved under some suitable conditions in Hilbert spaces. Finally, we show applications to signal and image recovery, and show the good e(cid:30)ciency of our proposed algorithm when the number of subproblems is increasing\",\"PeriodicalId\":36205,\"journal\":{\"name\":\"Results in Nonlinear Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-08-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Nonlinear Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.53006/rna.960559\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Nonlinear Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.53006/rna.960559","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
An inertial parallel CQ subgradient extragradient method for variational inequalities application to signal-image recovery
In this paper, we introduce an inertial parallel CQ subgradient extragradient method for (cid:28)nding a common solutions of variational inequality problems. The novelty of this paper is using linesearch methods to (cid:28)nd unknown L constant of L -Lipschitz continuous mappings. Strong convergence theorem has been proved under some suitable conditions in Hilbert spaces. Finally, we show applications to signal and image recovery, and show the good e(cid:30)ciency of our proposed algorithm when the number of subproblems is increasing
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