{"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":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7000,"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\":45776,\"journal\":{\"name\":\"Tamkang Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-01-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tamkang Journal of Mathematics\",\"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\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tamkang Journal of Mathematics","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":"Q2","JCRName":"MATHEMATICS","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.
期刊介绍：
To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.
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