Strong convergence algorithm for the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem

IF 0.5 Q3 MATHEMATICS Armenian Journal of Mathematics Pub Date : 2021-11-03 DOI:10.52737/18291163-2021.13.7-1-32
S. Husain, Mohd Asad, Mubashshir U. Khairoowala
{"title":"Strong convergence algorithm for the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem","authors":"S. Husain, Mohd Asad, Mubashshir U. Khairoowala","doi":"10.52737/18291163-2021.13.7-1-32","DOIUrl":null,"url":null,"abstract":"The purpose of this paper is to recommend an iterative scheme to approximate a common element of the solution sets of the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem for non-expansive mappings. We prove that the sequences generated by the recommended iterative scheme strongly converge to a common element of solution sets of stated split problems. In the end, we provide a numerical example to support and justify our main result. The result studied in this paper generalizes and extends some widely recognized results in this direction.","PeriodicalId":42323,"journal":{"name":"Armenian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2021-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Armenian Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52737/18291163-2021.13.7-1-32","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1

Abstract

The purpose of this paper is to recommend an iterative scheme to approximate a common element of the solution sets of the split problem of variational inclusions, split generalized equilibrium problem and fixed point problem for non-expansive mappings. We prove that the sequences generated by the recommended iterative scheme strongly converge to a common element of solution sets of stated split problems. In the end, we provide a numerical example to support and justify our main result. The result studied in this paper generalizes and extends some widely recognized results in this direction.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
变分包体分裂问题、分裂广义平衡问题和不动点问题的强收敛算法
本文的目的是推荐一种迭代格式来逼近变分包含分裂问题、非扩张映射的分裂广义平衡问题和不动点问题的解集的公共元素。证明了由所推荐的迭代方案生成的序列强收敛于所述分裂问题解集的一个公共元素。最后,我们给出了一个数值例子来支持和证明我们的主要结果。本文的研究结果推广和推广了这一方向上一些广泛认可的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
CiteScore
0.60
自引率
0.00%
发文量
13
审稿时长
48 weeks
期刊最新文献
The Geometry of the Projective Action of $\text{SL}(3,\mathbb{R})$ from the Erlangen Perspective Characterization of the Three-Variate Inverted Dirichlet Distributions A Combinatorial Interpretation of the Padovan Generalized Polynomial Sequence On the Distance Spectrum and Distance-Based Topological Indices of Central Vertex-Edge Join of Three Graphs Generalized Rational Evaluation Subgroups of the Inclusion between Complex Projective Spaces
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1