{"title":"涉及广义逆强单调映射的迭代算法","authors":"Bashir Ali, Abdulnasir Bala Nuhu","doi":"10.1007/s11565-024-00574-w","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we introduce and study a new class of mapping called generalized inverse strongly monotone mapping in a real Hilbert space. We prove some properties of the map. We also introduce new iterative algorithm for approximation of a common point in the set of common fixed points of a countable family of strictly pseudocontractive mappings, the set of solutions of some mixed equilibrium problem and the set of solutions of Variational inequality problem involving the new mapping.\n</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00574-w.pdf","citationCount":"0","resultStr":"{\"title\":\"Iterative algorithms involving generalized inverse strongly monotone mapping\",\"authors\":\"Bashir Ali, Abdulnasir Bala Nuhu\",\"doi\":\"10.1007/s11565-024-00574-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we introduce and study a new class of mapping called generalized inverse strongly monotone mapping in a real Hilbert space. We prove some properties of the map. We also introduce new iterative algorithm for approximation of a common point in the set of common fixed points of a countable family of strictly pseudocontractive mappings, the set of solutions of some mixed equilibrium problem and the set of solutions of Variational inequality problem involving the new mapping.\\n</p></div>\",\"PeriodicalId\":35009,\"journal\":{\"name\":\"Annali dell''Universita di Ferrara\",\"volume\":\"71 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s11565-024-00574-w.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali dell''Universita di Ferrara\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11565-024-00574-w\",\"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/s11565-024-00574-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
In this paper, we introduce and study a new class of mapping called generalized inverse strongly monotone mapping in a real Hilbert space. We prove some properties of the map. We also introduce new iterative algorithm for approximation of a common point in the set of common fixed points of a countable family of strictly pseudocontractive mappings, the set of solutions of some mixed equilibrium problem and the set of solutions of Variational inequality problem involving the new mapping.
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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