Banach空间中混合单调多值算子不动点的存在唯一性

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI:10.1215/KJM/1250271417

M. Shen, Shihuang Hong

{"title":"Banach空间中混合单调多值算子不动点的存在唯一性","authors":"M. Shen, Shihuang Hong","doi":"10.1215/KJM/1250271417","DOIUrl":null,"url":null,"abstract":"In this paper, the existence and approximation of ﬁxed points for two classes of systems of mixed monotone (downward and upward) multivalued operators are discussed. We present some new ﬁxed point theorems of mixed monotone(downward and upward)operators which need not be continuous and compact. We also indicate the condition to ensure the uniqueness of the ﬁxed point. At last we get some applications of our theorems.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"373-381"},"PeriodicalIF":0.0000,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Existence and uniqueness of fixed points for mixed monotone multivalued operators in Banach spaces\",\"authors\":\"M. Shen, Shihuang Hong\",\"doi\":\"10.1215/KJM/1250271417\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the existence and approximation of ﬁxed points for two classes of systems of mixed monotone (downward and upward) multivalued operators are discussed. We present some new ﬁxed point theorems of mixed monotone(downward and upward)operators which need not be continuous and compact. We also indicate the condition to ensure the uniqueness of the ﬁxed point. At last we get some applications of our theorems.\",\"PeriodicalId\":50142,\"journal\":{\"name\":\"Journal of Mathematics of Kyoto University\",\"volume\":\"48 1\",\"pages\":\"373-381\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics of Kyoto University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1215/KJM/1250271417\",\"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":"Journal of Mathematics of Kyoto University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1215/KJM/1250271417","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: 2

摘要

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

Existence and uniqueness of fixed points for mixed monotone multivalued operators in Banach spaces

In this paper, the existence and approximation of ﬁxed points for two classes of systems of mixed monotone (downward and upward) multivalued operators are discussed. We present some new ﬁxed point theorems of mixed monotone(downward and upward)operators which need not be continuous and compact. We also indicate the condition to ensure the uniqueness of the ﬁxed point. At last we get some applications of our theorems.

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 Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.