具有图的Hilbert空间中不动点问题的黏度逼近方法

Journal of Applied and Numerical Optimization Pub Date : 1900-01-01 DOI:10.23952/jano.1.2019.1.03

W. Cholamjiak, S. Suantai, R. Suparatulatorn, S. Kesornprom, P. Cholamjiak

{"title":"具有图的Hilbert空间中不动点问题的黏度逼近方法","authors":"W. Cholamjiak, S. Suantai, R. Suparatulatorn, S. Kesornprom, P. Cholamjiak","doi":"10.23952/jano.1.2019.1.03","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the existence of fixed points for G-nonexpansive mappings and prove strong convergence theorems of a sequence generated by two different viscosity approximation methods for finding fixed points of these mappings in a Hilbert space with a directed graph. We also give examples and numerical results to support our main convergence theorem.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Viscosity approximation methods for fixed point problems in Hilbert spaces endowed with graphs\",\"authors\":\"W. Cholamjiak, S. Suantai, R. Suparatulatorn, S. Kesornprom, P. Cholamjiak\",\"doi\":\"10.23952/jano.1.2019.1.03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the existence of fixed points for G-nonexpansive mappings and prove strong convergence theorems of a sequence generated by two different viscosity approximation methods for finding fixed points of these mappings in a Hilbert space with a directed graph. We also give examples and numerical results to support our main convergence theorem.\",\"PeriodicalId\":205734,\"journal\":{\"name\":\"Journal of Applied and Numerical Optimization\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied and Numerical Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23952/jano.1.2019.1.03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Numerical Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jano.1.2019.1.03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 6

摘要

本文研究了g -非扩张映射不动点的存在性，并证明了用两种不同的黏度近似方法在有向图Hilbert空间中寻找g -非扩张映射不动点的序列的强收敛性定理。本文还给出了一些例子和数值结果来支持我们的主要收敛定理。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Viscosity approximation methods for fixed point problems in Hilbert spaces endowed with graphs

In this paper, we investigate the existence of fixed points for G-nonexpansive mappings and prove strong convergence theorems of a sequence generated by two different viscosity approximation methods for finding fixed points of these mappings in a Hilbert space with a directed graph. We also give examples and numerical results to support our main convergence theorem.

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

Journal of Applied and Numerical Optimization

自引率

0.00%

发文量