{"title":"Some fixed point results for countably condensing mappings","authors":"Mohamed Yassin Abdallah, Khalid Latrach","doi":"10.1007/s13370-024-01178-5","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we establish some fixed point results for continuous countably condensing maps. We derive results of Altman’s type, Leray-Schauder’s type, Krasnosel’skii’s type and Krasnoselskii-Schafer’s type. One of the main tools in our analysis is a result due to S. J. Daher (Theorem 2.1). We conclude the paper by discussing existence results for a nonlinear Volterra integral equation.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-024-01178-5","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: 0
Abstract
In this paper we establish some fixed point results for continuous countably condensing maps. We derive results of Altman’s type, Leray-Schauder’s type, Krasnosel’skii’s type and Krasnoselskii-Schafer’s type. One of the main tools in our analysis is a result due to S. J. Daher (Theorem 2.1). We conclude the paper by discussing existence results for a nonlinear Volterra integral equation.
在本文中，我们建立了连续可数凝聚映射的一些定点结果。我们推导出了 Altman 型、Leray-Schauder 型、Krasnosel'skii 型和 Krasnoselskii-Schafer 型的结果。我们分析的主要工具之一是 S. J. Daher 的一个结果（定理 2.1）。最后，我们将讨论非线性 Volterra 积分方程的存在性结果。
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