We present the iterated function systems of generalized rational contractive mappings in Hausdorff semi metric spaces. We also study the well-posedness of attractors based problems of generalized rational contractive operator in the framework of semi metric spaces. An example is presented to support the results proved therein. These results extend, improve and generalize many results in the existing literature.

中文翻译：

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通过迭代函数系统在半度量空间中的广义有理收缩

我们介绍了Hausdorff半度量空间中广义有理压缩映射的迭代函数系统。我们还研究了在半度量空间框架下基于吸引子的广义有理压缩算子问题的适定性。给出一个例子来支持其中证明的结果。这些结果扩展，改进和概括了现有文献中的许多结果。