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Keywords = rectangular quasi-partial b-metric space

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8 pages, 278 KB  
Article
Fixed Point of Interpolative Rus–Reich–Ćirić Contraction Mapping on Rectangular Quasi-Partial b-Metric Space
by Pragati Gautam, Luis Manuel Sánchez Ruiz and Swapnil Verma
Symmetry 2021, 13(1), 32; https://doi.org/10.3390/sym13010032 - 28 Dec 2020
Cited by 20 | Viewed by 3672
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Advanced Calculus in Problems with Symmetry)
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