Abstract In this present article, we establish two new kinds of nonlinear contraction mappings to obtain fixed point results in the structure of ordered b - metric space via wt-distance. In fact, our presented results are extensions of recent theorems due to Lakzian-Rhoades [2019. Appl. Math. Comput.] and other existing classical results of fixed point theory. Furthermore, we provide examples to show the validity of our new investigations. As an application we apply our new findings to obtain solution of a matrix equation. Finally, we verify the accuracy of our new results numerically.

中文翻译：

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Lakzian-Rhoades 的扩展导致通过 wt-distance 的有序 b-metric 空间的结构与应用

摘要 在本文中，我们建立了两种新的非线性收缩映射，以通过wt-距离获得有序b-度量空间结构中的不动点结果。事实上，我们提出的结果是由于 Lakzian-Rhoades [2019. 应用程序 数学。Comput.] 和其他现有的不动点理论经典结果。此外，我们提供了一些例子来证明我们新调查的有效性。作为一个应用，我们应用我们的新发现来获得矩阵方程的解。最后，我们通过数值验证了我们新结果的准确性。