In this paper, we define the concepts of ϕ-contraction in probabilistic generalized Menger space. We prove that ϕ-contraction mappings in probabilistic generalized Menger space have a unique fixed point. Also we prove some fixed point theorems related this concept. Some examples are given to support the obtained results.

中文翻译：

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广义广义Menger空间中ϕ压缩映射的不动点定理

在本文中，我们定义了概率广义Menger空间中的ϕ-压缩的概念。我们证明了φ -contraction映射的概率广义门格尔空间有一个独特的固定点。我们也证明了一些与此概念有关的不动点定理。给出一些例子来支持所获得的结果。