戈贝尔-柯克定理的模块化版本

IF 0.7 4区数学 Q2 MATHEMATICS

Topological Methods in Nonlinear Analysis Pub Date : 2024-03-10 DOI:10.12775/tmna.2023.059

Wojciech M. Kozlowski

{"title":"戈贝尔-柯克定理的模块化版本","authors":"Wojciech M. Kozlowski","doi":"10.12775/tmna.2023.059","DOIUrl":null,"url":null,"abstract":"In this paper we prove a fixed point theorem for asymptotically nonexpansive mappings acting in modular spaces. This result generalises the 1972 fixed point theorem by \nK. Goebel and W.A. Kirk. In the process, we extend several other results (including the Milman-Pettis theorem) \nfrom the class of Banach spaces to the larger class of regular modular spaces.","PeriodicalId":23130,"journal":{"name":"Topological Methods in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modular version of Goebel-Kirk theorem\",\"authors\":\"Wojciech M. Kozlowski\",\"doi\":\"10.12775/tmna.2023.059\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we prove a fixed point theorem for asymptotically nonexpansive mappings acting in modular spaces. This result generalises the 1972 fixed point theorem by \\nK. Goebel and W.A. Kirk. In the process, we extend several other results (including the Milman-Pettis theorem) \\nfrom the class of Banach spaces to the larger class of regular modular spaces.\",\"PeriodicalId\":23130,\"journal\":{\"name\":\"Topological Methods in Nonlinear Analysis\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-03-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topological Methods in Nonlinear Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.12775/tmna.2023.059\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topological Methods in Nonlinear Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2023.059","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们证明了作用于模态空间的渐近非展开映射的定点定理。这一结果概括了 K. Goebel 和 W.A. Kirk 于 1972 年提出的定点定理。在此过程中，我们将其他几个结果（包括 Milman-Pettis 定理）从巴纳赫空间类扩展到更大的正则模态空间类。

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

Modular version of Goebel-Kirk theorem

In this paper we prove a fixed point theorem for asymptotically nonexpansive mappings acting in modular spaces. This result generalises the 1972 fixed point theorem by K. Goebel and W.A. Kirk. In the process, we extend several other results (including the Milman-Pettis theorem) from the class of Banach spaces to the larger class of regular modular spaces.

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

Topological Methods in Nonlinear Analysis 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.