{"title":"解决变分不等式、有限单调包含族和定点问题的新型迭代算法","authors":"Seema Anjali, Renu Mehra, Chugh Charu, Batra, S. Mehra, Charu Batra","doi":"10.5556/j.tkjm.55.2024.5138","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a method for finding common solution of variational inequality, finite family of monotone inclusion and fixed point problems of demicontractive mappings in a real Hilbert space. We prove strong convergence result of proposed method. We also provide a numerical example to show that our method is efficient from the numerical point of view.","PeriodicalId":0,"journal":{"name":"","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A novel iterative algorithm for solving variational inequality, finite family of monotone inclusion and fixed point problems\",\"authors\":\"Seema Anjali, Renu Mehra, Chugh Charu, Batra, S. Mehra, Charu Batra\",\"doi\":\"10.5556/j.tkjm.55.2024.5138\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce a method for finding common solution of variational inequality, finite family of monotone inclusion and fixed point problems of demicontractive mappings in a real Hilbert space. We prove strong convergence result of proposed method. We also provide a numerical example to show that our method is efficient from the numerical point of view.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":\"12 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-01-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5556/j.tkjm.55.2024.5138\",\"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":"1085","ListUrlMain":"https://doi.org/10.5556/j.tkjm.55.2024.5138","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A novel iterative algorithm for solving variational inequality, finite family of monotone inclusion and fixed point problems
In this paper, we introduce a method for finding common solution of variational inequality, finite family of monotone inclusion and fixed point problems of demicontractive mappings in a real Hilbert space. We prove strong convergence result of proposed method. We also provide a numerical example to show that our method is efficient from the numerical point of view.