In this paper, we will define a new metric space called n-gonal graphical b-metric space. We will also prove some fixed point theorems in said metric space and give suitable examples to illustrate our results. These results will help to solve many nonlinear convex models in machine learning and optimization by formulating them in fixed point schemes of optimization. Our paper opens the door for researchers to work in the intersecting area of machine learning and functional analysis in the frame work of $n$-gonal graphical $b$-metric space.

中文翻译：

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收缩条件下 n 边形图形 b 度量空间中的不动点

在本文中，我们将定义一个新的度量空间，称为n角图形b度量空间。我们还将在所述度量空间中证明一些不动点定理，并给出合适的例子来说明我们的结果。这些结果将有助于通过在固定点优化方案中制定它们来解决机器学习和优化中的许多非线性凸模型。我们的论文为研究人员打开了在机器学习和功能分析的交叉领域工作的大门$n$-gonal图形$b$-度量空间。