摘要
2011年,Hussain,Shah和张分别提出锥b-度量空间和广义拟压缩.前者给出锥b-度量空间的一些拓扑性质,然而后者得到锥度量空间中正规条件下的唯一不动点结果.依据Hussain,Shah和张的结果,这篇文章证明在非正规锥条件下,系数s≥1的锥b-度量空间中满足广义拟压缩及压缩条件λ∈(0,1/2)的自映射的不动点定理.我们的结果推广和改进了一些重要的相关结果.
In 2011,Hussain and Shah and ZHANG introduced cone b-metric spaces and generalized quasi-contractions respectively.The former obtained some topological properties of cone b-metric spaces,while the latter got the unique fixed point results in cone metric spaces with the assumption of normality.Following Hussain and Shah and ZHANG,the present paper will show fixed point theorems for self-mappings satisfying generalized quasi-contractive condition with the constantλ∈（0,1/s）in cone b-metric spaces without the assumption of normality,where the coefficient s satisfies s≥1.Our main results improve and generalize some related results in the literature.
出处
《应用数学》
CSCD
北大核心
2014年第4期755-762,共8页
Mathematica Applicata
基金
Supported by the Doctoral Initial Foundation of Hanshan Normal University,China(QD20110920)
关键词
不动点
广义拟压缩
锥b-度量空间
Fixed point
Generalized quasi-contraction
Cone b-metric space
