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Fixed Point of Interpolative Rus-Reich-Ćirić Contraction Mapping on Rectangular Quasi-Partial b-Metric Space

The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of… Click to show full abstract

The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition of the rectangular metric space defined by Branciari. Here, we obtain a fixed point theorem for interpolative Rus–Reich–Ćirić contraction mappings in the realm of rectangular quasi-partial b-metric spaces. Furthermore, an example is also illustrated to present the applicability of our result.

Keywords: partial metric; space; quasi partial; metric space; rectangular quasi; fixed point

Journal Title: Symmetry
Year Published: 2021

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