In this manuscript, we use the concept of multidimensional fixed point in a generalized space, namely, C-distance space with some nonlinear contraction conditions, such as Jaggi- and Dass-Gupta-type contractions. We provide results with a Jaggi-type hybrid contraction for the mentioned space. Moreover, we use control functions to get the desired results. After each theorem, we compare our results with previous ones to show that they are generalized. We provide examples to support our results. An application is also performed to solve the system of integral equations.

中文翻译：

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C距离空间非线性收缩的一些多维不动点定理及其应用

在这篇手稿中，我们在广义空间中使用多维不动点的概念，即具有一些非线性收缩条件的 C 距离空间，例如 Jaggi 和 Dass-Gupta 型收缩。我们为上述空间提供了 Jaggi 型混合收缩的结果。此外，我们使用控制功能来获得所需的结果。在每个定理之后，我们将我们的结果与之前的结果进行比较，以表明它们是通用的。我们提供示例来支持我们的结果。还执行了一个应用程序来求解积分方程组。