Darbo定理的推广及其在一类积分方程组解的存在性中的应用

IF 0.1 Q4 MATHEMATICS Cogent mathematics & statistics Pub Date : 2019-01-01 DOI:10.1080/25742558.2019.1614319

Shahram Banaei

{"title":"Darbo定理的推广及其在一类积分方程组解的存在性中的应用","authors":"Shahram Banaei","doi":"10.1080/25742558.2019.1614319","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we extend Darbo’s fixed point theorem in Banach space via the concept of the class of operators O(f;.) and obtain a tripled fixed point theorem. The main tool applied in our investigation is the technique of measures of noncompactness. Finally, as an application of our obtained results, we analyze the existence of solutions for a system of integral equations.","PeriodicalId":92618,"journal":{"name":"Cogent mathematics & statistics","volume":" ","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/25742558.2019.1614319","citationCount":"9","resultStr":"{\"title\":\"An extension of Darbo’s theorem and its application to existence of solution for a system of integral equations\",\"authors\":\"Shahram Banaei\",\"doi\":\"10.1080/25742558.2019.1614319\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, we extend Darbo’s fixed point theorem in Banach space via the concept of the class of operators O(f;.) and obtain a tripled fixed point theorem. The main tool applied in our investigation is the technique of measures of noncompactness. Finally, as an application of our obtained results, we analyze the existence of solutions for a system of integral equations.\",\"PeriodicalId\":92618,\"journal\":{\"name\":\"Cogent mathematics & statistics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2019-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/25742558.2019.1614319\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cogent mathematics & statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/25742558.2019.1614319\",\"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":"Cogent mathematics & statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/25742558.2019.1614319","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: 9

摘要

摘要利用算子O(f;)的概念，在Banach空间中推广了Darbo不动点定理，得到了一个三重不动点定理。在我们的研究中应用的主要工具是测量非紧性的技术。最后，作为我们所得结果的一个应用，我们分析了一类积分方程组解的存在性。

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

An extension of Darbo’s theorem and its application to existence of solution for a system of integral equations

Abstract In this paper, we extend Darbo’s fixed point theorem in Banach space via the concept of the class of operators O(f;.) and obtain a tripled fixed point theorem. The main tool applied in our investigation is the technique of measures of noncompactness. Finally, as an application of our obtained results, we analyze the existence of solutions for a system of integral equations.

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