Debnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative Hardy-Rogers type contraction mapping has a fixed point. This article presents generalizations of above results by omitting the assumption that all closed and bounded subsets are compact.

中文翻译：

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b度量空间中集值插值Hardy-Rogers型收缩的新推广

Debnath和De La Sen引入了b度量空间上的集值插值Hardy-Rogers类型收缩映射的概念，并证明了在一个所有b封闭且有界子集都是紧凑的完整b度量空间上，集值插值Hardy-Rogers类型收缩映射有一个固定点。本文通过省略所有闭合和有界子集都是紧凑的假设，对上述结果进行了概括。