抽象凸一致空间中广义凝聚映射的集合不动点

Q3 Mathematics

Nonlinear Functional Analysis and Applications Pub Date : 2021-02-23 DOI:10.22771/NFAA.2021.26.01.07

Hoonjoo Kim

{"title":"抽象凸一致空间中广义凝聚映射的集合不动点","authors":"Hoonjoo Kim","doi":"10.22771/NFAA.2021.26.01.07","DOIUrl":null,"url":null,"abstract":"In this paper, we present a fixed point theorem for a family of generalized condensing multimaps which have ranges of the Zima-Hadˇzi c type in Hausdorff KKM uniform spaces. It extends Himmelberg et al. type fixed point theorem. As applications, we obtain some new collective fixed point theorems for various type generalized condensing multimaps in abstract convex uniform spaces.","PeriodicalId":37534,"journal":{"name":"Nonlinear Functional Analysis and Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"COLLECTIVE FIXED POINTS FOR GENERALIZED CONDENSING MAPS IN ABSTRACT CONVEX UNIFORM SPACES\",\"authors\":\"Hoonjoo Kim\",\"doi\":\"10.22771/NFAA.2021.26.01.07\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we present a fixed point theorem for a family of generalized condensing multimaps which have ranges of the Zima-Hadˇzi c type in Hausdorff KKM uniform spaces. It extends Himmelberg et al. type fixed point theorem. As applications, we obtain some new collective fixed point theorems for various type generalized condensing multimaps in abstract convex uniform spaces.\",\"PeriodicalId\":37534,\"journal\":{\"name\":\"Nonlinear Functional Analysis and Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-02-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Functional Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22771/NFAA.2021.26.01.07\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Functional Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22771/NFAA.2021.26.01.07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

本文给出了Hausdorff KKM一致空间中具有Zima-Had-zi-c型范围的广义凝聚多映射族的一个不动点定理。它推广了Himmelberg等人的不动点定理。作为应用，我们得到了抽象凸一致空间中各种类型广义凝聚多映射的一些新的集体不动点定理。

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

COLLECTIVE FIXED POINTS FOR GENERALIZED CONDENSING MAPS IN ABSTRACT CONVEX UNIFORM SPACES

In this paper, we present a fixed point theorem for a family of generalized condensing multimaps which have ranges of the Zima-Hadˇzi c type in Hausdorff KKM uniform spaces. It extends Himmelberg et al. type fixed point theorem. As applications, we obtain some new collective fixed point theorems for various type generalized condensing multimaps in abstract convex uniform 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

Nonlinear Functional Analysis and Applications Mathematics-Analysis

CiteScore

1.90

自引率

0.00%

发文量

期刊介绍： The international mathematical journal NFAA will publish carefully selected original research papers on nonlinear functional analysis and applications, that is, ordinary differential equations, all kinds of partial differential equations, functional differential equations, integrodifferential equations, control theory, approximation theory, optimal control, optimization theory, numerical analysis, variational inequality, asymptotic behavior, fixed point theory, dynamic systems and complementarity problems. Papers for publication will be communicated and recommended by the members of the Editorial Board.