区间值度量空间中集值弱压缩映射的不动点

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英文篇名：Fixed Point for Set-valued Quasi-contraction Maps in Interval-valued Metric Spaces 作者：陈桂秀 ; 李生刚 ; 索南仁欠 英文作者：CHEN Gui-xiu;LI Sheng-gang;SUO-NAN Ren-qian;College of Mathematics and Information Science,Shaanxi Normal University;Department of Mathematics,Qinghai Normal University; 关键词：区间数 ; 区间值度量空间 ; 区间数序列 ; 不动点 ; 集值弱压缩映射 英文关键词：Interval Number;;Interval-valued Metric Space;;Interval Number Sequence;;Fixed Point;;Set-valued Quasi-contraction Maps 中文刊名：MUTE 英文刊名：Fuzzy Systems and Mathematics 机构：陕西师范大学数学与信息科学学院;青海师范大学数学系; 出版日期：2014-08-15 出版单位：模糊系统与数学 年：2014 期：v.28 基金：国家自然科学基金资助项目(11071151;11301291);; 陕西省自然科学基金资助项目(2010JM1005) 语种：中文; 页：MUTE201404013 页数：6 CN：04 ISSN：43-1179/O1 分类号：78-83

摘要

首先给出了区间值度量空间的定义以及区间值度量空间中收敛序列、Cauchy序列、区间数序列收敛等相关的基本概念,讨论了区间数序列具有的性质;然后给出并证明了区间值度量空间中集值弱压缩映射的不动点定理。
        Firstly,the definition of interval-valued metric spaces and some related basic conception in interval-valued metric space are given,such as convergent sequence,Cauchy sequence,interval number sequence etc;Secondly,the properties of interval number sequence are discussed;Finally,the fixed point theorem for set-valued quasi-contraction maps in interval-valued metric spaces are given and proved in the paper.

引文

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