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锥b-度量空间上映射的公共不动点定理
引用本文:宋际平,刘云.锥b-度量空间上映射的公共不动点定理[J].数学杂志,2015,35(5):1053-1067.
作者姓名:宋际平  刘云
作者单位:乐山师范学院数学与信息科学学院, 四川 乐山 614000,荆楚理工学院数理学院, 湖北 荆门 448000
基金项目:Supported by National Natural Science Foundation of China (11271293)
摘    要:本文研究了锥b-度量空间上四个自映射的公共不动点问题.利用序列逼近的方法,获得了锥b-度量空间上四个自映射的一些公共不动点结果,将锥度量空间中的几个相关结果推广到锥b-度量空间中,并且给出了一个例子以支撑我们的结果.

关 键 词:锥b-度量空间  公共不动点  映射  弱相容
收稿时间:2015/3/15 0:00:00
修稿时间:2015/5/25 0:00:00

SOME COMMON FIXED POINT THEOREMS FOR MAPPINGS ON CONE b-METRIC SPACES
SONG Ji-ping and LIU Yun.SOME COMMON FIXED POINT THEOREMS FOR MAPPINGS ON CONE b-METRIC SPACES[J].Journal of Mathematics,2015,35(5):1053-1067.
Authors:SONG Ji-ping and LIU Yun
Institution:School of Mathematics and Information Science, Leshan Normal University, Leshan 614000, China and School of Mathematics and Physics, Jingchu University of Technology, Jingmen 448000, China
Abstract:The common fixed point problem of mappings is studied in this article. Some existence and uniqueness of points of coincidence and common fixed points for four mappings are obtained in cone-b metric spaces by the method of successive approximation. Some related results in cone metric spaces are generalized to cone b-metric spaces. An example is given to support our results.
Keywords:cone b-metric space  common fixed point  mapping  weakly compatible
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