具有Banach代数的无正规的锥度量空间上拟收缩映射的不动点定理的改进
An improvement of fixed point theorems for quasi-contractive mappings on non-normal cone metric spaces with Banach algebras

Keywords: 具有Banach代数的锥度量空间,不动点,拟收缩,推广的拟收缩,c-序列,
cone metric space with Banach algebras,fixed point,quasi-contraction,generalized quasi-contraction,c-sequence

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Abstract:

考虑一种新的拟收缩条件并证明具有Banach代数的的无正规的锥度量空间上满足新的拟收缩条件的自映射具有唯一不动点。进一步，给出更一般形式的拟收缩条件下的唯一不动点存在定理。所得结果推广和改进了若干已知的拟收缩映射的不动点定理

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