In this article, the authors prove some bi-additive \(\sigma\)-random operators inequalities and apply these inequalities, together with the fixed-point technique, to get an approximation of the additive \(\sigma\)-random operators in Menger–Banach (MB) spaces. An approximation of random quasi-\(*\)-multipliers on MB-\(*\)-algebras, associated with the bi-additive \(\sigma\)-random operator inequalities, is also considered.

中文翻译：

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双加性$$ \ sigma $$σ-随机算子不等式和随机拟-$$ * $$ ∗-MB代数上的乘数

在本文中，作者证明了一些双加法\（\ sigma \）-随机算子不等式，并将这些不等式与定点技术一起应用，以得到加法\（\ sigma \）- random算子的近似值在Menger–Banach（MB）空间中。还考虑了与MB- \（* \）代数上的随机准\（* \） -乘数的近似，与双加和\（\ sigma \）-随机算子不等式相关。