本篇論文主要目的是研究關於單值和多值函數的Korovkin型近似定理的結果。對於實數值單值函數的Korovkin型近似定理，我們將討論函數定義在偏度量空間和準度量空間的均勻收斂。對於多值函數的Korovkin型近似定理，我們將討論從偏度量空間均勻收斂到實數中封閉且有界的集合和準度量空間均勻收斂到實數中封閉且有界的集合兩種情形。

The paper is concerned with the result of the Korovkin type approximation theorem related to functions of single-valued and multi-valued. For the study of Korovkin type approximation theorem of single-valued functions, we discuss the uniform convergence in the space of functions define on the space of partial metric and metric-like. As for the Korovkin type approximation theorem of multi-valued functions, we discuss the uniform convergence in the space of functions from partial metric space to closed and bounded sets of real number and the functions from metric-like space to closed and bounded sets of real number.

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