涉及广义逆强单调映射的迭代算法

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-12-05 DOI:10.1007/s11565-024-00574-w

Bashir Ali, Abdulnasir Bala Nuhu

{"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}

引用次数: 0

摘要

本文在实数Hilbert空间中引入并研究了一类新的映射——广义逆强单调映射。我们证明了映射的一些性质。本文还介绍了一类严格伪压缩映射的可数族的公共不动点集合中的一个公共点的逼近的新迭代算法，以及一类混合平衡问题的解集和涉及新映射的变分不等式问题的解集。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Iterative algorithms involving generalized inverse strongly monotone mapping

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

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.