偏锥b-度量空间中的不动点定理Fixed point theorems in partial cone b-metric spaces
张慧芳;薛西锋;
摘要(Abstract)：
在偏锥度量空间的基础上,介绍了偏锥b-度量空间的相关概念,提出了偏锥b-度量空间和锥b-度量空间的关系,并给出了一个简单的例子,最后研究了偏锥b-度量空间中在没有正规性的条件下的一些不动点定理,从而推广了巴拿赫压缩原理.
关键词(KeyWords)： 偏锥b-度量空间;不动点定理;非正规性
基金项目(Foundation): 陕西省自然科学基金(2012JM1017)
作者(Authors): 张慧芳;薛西锋;
参考文献(References)：
- [1]Huang Longguang,Zhang Xian.Cone metric spaces and fixed point theorems of contractive mappings[J].Mathematica Analysis and Applications,2007,332:1468-1476.
- [2]Rezapour S,Hamlbarani R.Some notes on the paper’Cone Metric Spaces and fixed Point theorems of contractive mappings’[J].Mathematica Analysis and Applications,2008,345:719-724.
- [3]Huang H,Xu S.Fixed Point theorems of contractive mappings in cone b-metric spaces and applications[J].Fixed Point Theory and Applications,2014,2014:1-5..
- [4]Jiang S,Li Z.Extensions of Banach contraction principle to partial cone metric spaces over a non-normai solid cone[J].Fixed Point Theory and Applications,2013,2013(1):1-9.
- [5]Agarwal R P.Contraction and approximate contraction with an application to multi-point boundary value problems[J].Comput.Appl.Math.,1983,9:315-325.
- [6]Sonmez A.Fixed Point theorems in partial cone metric spaces[J].arxiv,2011:1101.2741v2.
- [7]Sonmez A.On partial cone metric space[J].arxiv,2012:1207.6766v1.