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Keywords = (p,c)-weight type ψ-contraction

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11 pages, 270 KiB  
Article
Hybrid Contractions on Branciari Type Distance Spaces
by Kamaleldin Abodayeh, Erdal Karapınar, Ariana Pitea and Wasfi Shatanawi
Mathematics 2019, 7(10), 994; https://doi.org/10.3390/math7100994 - 19 Oct 2019
Cited by 20 | Viewed by 2698
Abstract
In this manuscript, we consider some hybrid contractions that merge linear and nonlinear contractions in the abstract spaces induced by the Branciari distance and the Branciari b-distance. More precisely, we introduce the notion of a ( p , c ) -weight type [...] Read more.
In this manuscript, we consider some hybrid contractions that merge linear and nonlinear contractions in the abstract spaces induced by the Branciari distance and the Branciari b-distance. More precisely, we introduce the notion of a ( p , c ) -weight type ψ -contraction in the setting of Branciari distance spaces and the concept of a ( p , c ) -weight type contraction in Branciari b-distance spaces. We investigate the existence of a fixed point of such operators in Branciari type distance spaces and illustrate some examples to show that the presented results are genuine in the literature. Full article
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