In this manuscript, we introduce the concept of complex-valued triple controlled metric spaces as an extension of rectangular metric type spaces. To validate our hypotheses and to show the usability of the Banach and Kannan fixed point results discussed herein, we present an application on Fredholm-type integral equations and an application on higher degree polynomial equations.

中文翻译：

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关于复值三重控制度量空间及其应用

在本手稿中，我们介绍了复数值三重控制度量空间的概念，作为矩形度量类型空间的扩展。为了验证我们的假设并显示此处讨论的Banach和Kannan不动点结果的可用性，我们提出了Fredholm型积分方程的应用和更高阶多项式方程的应用。