Banach代数上锥度量空间上Jungck迭代的几乎收缩映射和$(S,T)$-稳定性

Turkish Journal of Mathematics and Computer Science Pub Date : 2023-06-30 DOI:10.47000/tjmcs.961439

Faruk Develi, Muttalip Özavsar

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引用次数: 0

摘要

在这项工作中，我们首先引入了Banach代数(CMSBA)上锥度量空间中一对两个映射的几乎收缩映射。然后，我们观察到，在这个设置中，这类映射包含了许多已知映射的映射。最后，我们证明了一些不动点定理，得到了CMSBA中一些映射的junck迭代$(S,T)$-稳定性结果。

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Almost Contraction Mappings and $(S,T)$-Stability of Jungck Iteration in Cone Metric Spaces over Banach Algebras

In this work, we first introduce almost contraction mappings for a pair of two mappings in cone metric spaces over Banach algebras (CMSBA). Then, we observe that the class of such mappings in this setting contains those of many well known mappings. Finally, we prove some fixed point theorems, and obtain $(S,T)$-stability results of Jungck iterations for some mappings in CMSBA.

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Turkish Journal of Mathematics and Computer Science

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