{"title":"求解带不动点约束的二水平变分不等式问题的惯性方法","authors":"Yirga Abebe Belay, Habtu Zegeye, Oganeditse A. Boikanyo, Dintle Kagiso, Hagos Hailu Gidey","doi":"10.1007/s11565-024-00571-z","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we introduce and study an inertial algorithm for solving bilevel variational inequality problems with a fixed point constraint involving a uniformly continuous pseudomonotone mapping in the lower level variational inequality problem and a demimetric mapping for the fixed point constraint. We prove a strong convergence theorem under some suitable conditions on the control sequences. We also provide a numerical example to demonstrate the effectiveness of the method. \n</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An inertial method for solving bilevel variational inequality problems with fixed point constraints\",\"authors\":\"Yirga Abebe Belay, Habtu Zegeye, Oganeditse A. Boikanyo, Dintle Kagiso, Hagos Hailu Gidey\",\"doi\":\"10.1007/s11565-024-00571-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we introduce and study an inertial algorithm for solving bilevel variational inequality problems with a fixed point constraint involving a uniformly continuous pseudomonotone mapping in the lower level variational inequality problem and a demimetric mapping for the fixed point constraint. We prove a strong convergence theorem under some suitable conditions on the control sequences. We also provide a numerical example to demonstrate the effectiveness of the method. \\n</p></div>\",\"PeriodicalId\":35009,\"journal\":{\"name\":\"Annali dell''Universita di Ferrara\",\"volume\":\"71 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-11-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali dell''Universita di Ferrara\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11565-024-00571-z\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-024-00571-z","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
An inertial method for solving bilevel variational inequality problems with fixed point constraints
In this paper, we introduce and study an inertial algorithm for solving bilevel variational inequality problems with a fixed point constraint involving a uniformly continuous pseudomonotone mapping in the lower level variational inequality problem and a demimetric mapping for the fixed point constraint. We prove a strong convergence theorem under some suitable conditions on the control sequences. We also provide a numerical example to demonstrate the effectiveness of the method.
期刊介绍：
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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