锥b-度量空间中广义拟压缩映射的不动点定理

Fixed point theorems for generalized quasi-contractive mappings in cone b-metric spaces

在常数为s≥1的锥b-度量空间中,通过去掉正规性及运用按序有界集,得到压缩系数为λ∈(0,1/s)的广义拟压缩映射不动点的存在性和唯一性.结果推广和改进了一些相关的不动点结果.

In cone b-metric spaces that the constant satisfies,by removing the normality and using the bounded set with respect to a partial ordering,we obtain the existence and uniqueness of fixed point for generalized quasi-contractive mappings with the constant. Our main results generalize and improve some related important fixed point results.