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Keywords = Czerwik vector-valued metric space

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14 pages, 289 KB  
Article
Czerwik Vector-Valued Metric Space with an Equivalence Relation and Extended Forms of Perov Fixed-Point Theorem
by Monairah Alansari, Yahya Almalki and Muhammad Usman Ali
Mathematics 2023, 11(16), 3583; https://doi.org/10.3390/math11163583 - 18 Aug 2023
Cited by 2 | Viewed by 1420
Abstract
In this article, we shall generalize the idea of vector-valued metric space and Perov fixed-point theorem. We shall introduce the notion of Czerwik vector-valued R-metric space by involving an equivalence relation. A few basic concepts and properties related to Czerwik vector-valued R [...] Read more.
In this article, we shall generalize the idea of vector-valued metric space and Perov fixed-point theorem. We shall introduce the notion of Czerwik vector-valued R-metric space by involving an equivalence relation. A few basic concepts and properties related to Czerwik vector-valued R-metric space shall also be discussed that are required to obtain a few extended types of Perov fixed-point theorem. Full article
(This article belongs to the Special Issue Advances in Fixed Point Theory and Its Applications)
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