{"title":"具有变分不等式的三层次问题","authors":"Thanyarat Jitpeera, Tamaki Tanaka, P. Kumam","doi":"10.3934/naco.2021038","DOIUrl":null,"url":null,"abstract":"<p style='text-indent:20px;'>In this paper, we suggest and analyze an iterative scheme for finding the triple-hierarchical problem in a real Hilbert space. We also consider the strong convergence for the proposed method under some assumptions. Our results extend ones of Ceng et. al (2011) [<xref ref-type=\"bibr\" rid=\"b2\">2</xref>], Yao et. al (2011) [<xref ref-type=\"bibr\" rid=\"b24\">24</xref>].</p>","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"63 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Triple-hierarchical problems with variational inequality\",\"authors\":\"Thanyarat Jitpeera, Tamaki Tanaka, P. Kumam\",\"doi\":\"10.3934/naco.2021038\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p style='text-indent:20px;'>In this paper, we suggest and analyze an iterative scheme for finding the triple-hierarchical problem in a real Hilbert space. We also consider the strong convergence for the proposed method under some assumptions. Our results extend ones of Ceng et. al (2011) [<xref ref-type=\\\"bibr\\\" rid=\\\"b2\\\">2</xref>], Yao et. al (2011) [<xref ref-type=\\\"bibr\\\" rid=\\\"b24\\\">24</xref>].</p>\",\"PeriodicalId\":44957,\"journal\":{\"name\":\"Numerical Algebra Control and Optimization\",\"volume\":\"63 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Numerical Algebra Control and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/naco.2021038\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Numerical Algebra Control and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/naco.2021038","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
本文提出并分析了在实数Hilbert空间中求解三层次问题的一种迭代格式。在一些假设条件下,我们还考虑了所提方法的强收敛性。我们的结果扩展了Ceng et. al (2011) [2], Yao et. al(2011)[24]。
Triple-hierarchical problems with variational inequality
In this paper, we suggest and analyze an iterative scheme for finding the triple-hierarchical problem in a real Hilbert space. We also consider the strong convergence for the proposed method under some assumptions. Our results extend ones of Ceng et. al (2011) [2], Yao et. al (2011) [24].
期刊介绍:
Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.