赋值Banach代数的锥度量空间中的一类新型不动点定理

New fixed point theorems in cone metric spaces over Banach algebras

定义了一种向量版本的α-可容许函数,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的带有α-可容许函数条件的几类压缩型映射的不动点定理,所得结果大大地改进了前人的一些结果,并且举例验证了所得到的结论.

In the present paper the concept of a-admissible mapping for the vector version is introduced and several fixed point theorems are obtained for contractive mappings with a-admissible mappings in cone metric spaces over Banach algebras without assumption of normality of cones. There are significant improvements over other results in the literature. Further, an example is given to illustrate the main assertions.