| 凸度量空间中单值和集值映象的公共不动点定理 |
| |
| 引用本文： | 梁俊奇,张志宏,赵玲.凸度量空间中单值和集值映象的公共不动点定理[J].数学季刊,2003,18(3):264-270. |
| |
| 作者姓名： | 梁俊奇 张志宏 赵玲 |
| |
| 作者单位： | [1]DepartmentofMathematics,ShangqiuTeacher‘sCollege,Shangqiu476000,China [2]ShangqiuNo.1MiddleSchool,Shangqiu476000,China |
| |
| 摘 要： | § 1. Introduction Anecessaryandsufficientconditionandasufficientconditiontoensurethataset valuedmappingandasingle valuedmappinginacompletemetricspaceandacompleteconvexmetricspacehavingacommonfixedpointarerespectivelygivenin 1 ] .Meanwhilethemainresultsin2 ]— 5]areimprovedandextendedin 1 ] .Inthispaper ,theexistenceatcommonfixedpointsoftwoset valuedmappingandasing valuedmappingwerestudied ,andthecorrespond ingresultsin 1 ]— 5]wereextendedandimproved .Let(X ,d)beanon emptymetricspa…
|
| 关 键 词： | 公共不动点定理 凸度量空间 单值映射 集值映射 相容性 存在性 |
Common Fixed Point Theorems of Single-valued and Set-valued Mappings in Complete, Convex Metric Spaces |
| |
| LIANG Jun-qi,ZHANG Zhi-hong,ZHAO Ling.Common Fixed Point Theorems of Single-valued and Set-valued Mappings in Complete, Convex Metric Spaces[J].Chinese Quarterly Journal of Mathematics,2003,18(3):264-270. |
| |
| Authors: | LIANG Jun-qi ZHANG Zhi-hong ZHAO Ling |
| |
| Abstract: | Under the conditions of compatility or sub-compatility between a sigle-valued mapping and set-valued mapping, this paper discusses the existence of common fixed points for two set-valued map-pings and a single-valued mapping in complete, convex matric spaces. We extend and develop the main results. |
| |
| Keywords: | complete convex metric spaces compatible mappings s ub-compatible mappings common fixed point theorems |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
