可分Banach空间中弱压缩随机算子的一些随机不动点定理

Int. J. Math. Math. Sci. Pub Date : 2021-12-07 DOI:10.1155/2021/9484771

Kenza Benkirane, A. Eladraoui, E. Marhrani

{"title":"可分Banach空间中弱压缩随机算子的一些随机不动点定理","authors":"Kenza Benkirane, A. Eladraoui, E. Marhrani","doi":"10.1155/2021/9484771","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to prove a common random fixed-point and some random fixed-point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space\",\"authors\":\"Kenza Benkirane, A. Eladraoui, E. Marhrani\",\"doi\":\"10.1155/2021/9484771\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aim of this paper is to prove a common random fixed-point and some random fixed-point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system.\",\"PeriodicalId\":301406,\"journal\":{\"name\":\"Int. J. Math. Math. Sci.\",\"volume\":\"55 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Math. Math. Sci.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2021/9484771\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Math. Math. Sci.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2021/9484771","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文的目的是证明可分Banach空间中随机弱压缩算子的一个公共随机不动点定理和一些随机不动点定理。引入随机Mann迭代过程逼近不动点。最后，通过一个算例对主要结果进行了支持，并用于证明一类非线性随机积分方程组解的存在唯一性。

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

Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space

The aim of this paper is to prove a common random fixed-point and some random fixed-point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system.

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

Int. J. Math. Math. Sci.

自引率

0.00%

发文量