基于AP迭代技术的CAT(0)空间非扩张映射的近点算法

IF 0.2 Q4 MATHEMATICS

Communications in Mathematics and Applications Pub Date : 2023-05-09 DOI:10.26713/cma.v14i1.1831

Anju Panwar, J. ., Prateek Mor, Pinki .

{"title":"基于AP迭代技术的CAT(0)空间非扩张映射的近点算法","authors":"Anju Panwar, J. ., Prateek Mor, Pinki .","doi":"10.26713/cma.v14i1.1831","DOIUrl":null,"url":null,"abstract":". In this paper, we introduce the modified proximal point algorithm for solving minimization problems in CAT(0) spaces. We then show that the sequence converges to a common fixed point of nonexpansive mapping and a minimizer of a convex function. Finally, we present a numerical illustration for supporting our main result. The findings in this paper are a generalization of certain corresponding results given by some authors","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"66 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Proximal Point Algorithm Based on AP Iterative Technique for Nonexpansive Mappings in CAT(0) Spaces\",\"authors\":\"Anju Panwar, J. ., Prateek Mor, Pinki .\",\"doi\":\"10.26713/cma.v14i1.1831\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we introduce the modified proximal point algorithm for solving minimization problems in CAT(0) spaces. We then show that the sequence converges to a common fixed point of nonexpansive mapping and a minimizer of a convex function. Finally, we present a numerical illustration for supporting our main result. The findings in this paper are a generalization of certain corresponding results given by some authors\",\"PeriodicalId\":43490,\"journal\":{\"name\":\"Communications in Mathematics and Applications\",\"volume\":\"66 1\",\"pages\":\"\"},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2023-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.26713/cma.v14i1.1831\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26713/cma.v14i1.1831","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

．本文引入了求解CAT(0)空间中最小化问题的改进近点算法。然后证明了该序列收敛于非扩张映射的一个公共不动点和一个凸函数的最小化点。最后，我们给出了一个数值说明来支持我们的主要结果。本文的发现是对一些作者的相应结果的推广

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

Proximal Point Algorithm Based on AP Iterative Technique for Nonexpansive Mappings in CAT(0) Spaces

. In this paper, we introduce the modified proximal point algorithm for solving minimization problems in CAT(0) spaces. We then show that the sequence converges to a common fixed point of nonexpansive mapping and a minimizer of a convex function. Finally, we present a numerical illustration for supporting our main result. The findings in this paper are a generalization of certain corresponding results given by some authors

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

Communications in Mathematics and Applications MATHEMATICS-

自引率

0.00%

发文量