| 区间值度量空间中的不动点定理 |
| |
| 引用本文： | 陈桂秀,李生刚,赵 虎. 区间值度量空间中的不动点定理[J]. 计算机工程与应用, 2013, 49(7): 20-23 |
| |
| 作者姓名： | 陈桂秀 李生刚 赵 虎 |
| |
| 作者单位： | 1.陕西师范大学 数学与信息科学学院，西安 7100622.青海师范大学 数学系，西宁 810008 |
| |
| 摘 要： | 研究了一种特殊的模糊度量[ρ]，称为区间值度量。区间数的运算（如加减乘除运算）在相关文献中已有定义，对区间数的减法运算进行新的定义，得到相应的不等式性质，接着给出了区间值度量的定义；介绍了区间值度量空间中相关的定义，如收敛序列、Cauchy序列以及完备性等；讨论了区间值度量空间中的不动点定理和公共不动点定理。
|
| 关 键 词： | 区间值度量空间 不动点定理 公共不动点定理 区间数 |
Fixed point theorems in interval-valued metric spaces |
| |
| CHEN Guixiu,LI Shenggang,ZHAO Hu. Fixed point theorems in interval-valued metric spaces[J]. Computer Engineering and Applications, 2013, 49(7): 20-23 |
| |
| Authors: | CHEN Guixiu LI Shenggang ZHAO Hu |
| |
| Affiliation: | 1.College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China2.Department of Mathematics, Qinghai Normal University, Xining 810008, China |
| |
| Abstract: | This paper studies a special kind of fuzzy metric [ρ], called interval-valued metric. The operations of interval number（such as addition subtraction multiplication divition） are given in related references, the subtraction operation of interval number is redefined, and the corresponding inequality properties are obtained. Then the definition of interval-valued metric is given. Some related conception in interval-valued metric space are introduced, such as convergent sequence, Cauchy sequence and completeness etc, and the fixed point theorem and common fixed point theorem in interval-valued metric space are presented. |
| |
| Keywords: | interval-valued metric spaces fixed point theorem common fixed point theorem interval number |
|
| 点击此处可从《计算机工程与应用》浏览原始摘要信息 |
|
点击此处可从《计算机工程与应用》下载免费的PDF全文 |
