赋值Banach代数的锥度量空间中弱拟压缩映射的不动点定理

Fixed Point Theorem for Weak Quasi-contraction in Cone Metric Space over Banach Algebra

首先在不考虑锥的正规性的条件下,给出了赋值Banach代数的锥度量空间中带有广义Lipschitz常数的弱拟压缩映射的不动点定理,其结果大大地推广了先前的一些结果,并且举例验证了所得到的结论.

In this paper, we obtain a fixed point theorem for weak quasi-contraction with generalized Lipschitz constant in cone metric space over Banach algebra without the assumption of normality of cone. The result greatly generalizes some previous results in the literature. Moreover, we give an example to support the result obtained.