In the current work, the multi-valued version of well-known theorems of Nadler, Banach, Branciari and Reich are generalized to the scope of double controlled metric space. A double controlled metric space is a metric type space in which the right hand side of the triangle inequality is controlled by two functions. Furthermore, applications to existence of solution to Volterra integral inclusions and singular Fredholm integral inclusions of are obtained.

中文翻译：

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双控制度量类型空间中Nadler，Banach，Branciari和Reich不动点定理的多值版本及其应用

在当前工作中，Nadler，Banach，Branciari和Reich的著名定理的多值版本被推广到双控制度量空间的范围。双重控制度量空间是一种度量类型空间，其中三角形不等式的右侧由两个函数控制。此外，获得了对Volterra积分夹杂和奇异Fredholm积分夹杂的解的存在性的应用。