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Open AccessArticle

Hybrid Contractions on Branciari Type Distance Spaces

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Department of Math and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Department of Medical Research, China Medical University, Taichung 40402, Taiwan
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Department of Mathematics and Informatics, University Polithenica of Bucharest, 060042 Bucharest, Romania
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Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(10), 994; https://doi.org/10.3390/math7100994
Received: 12 September 2019 / Revised: 12 October 2019 / Accepted: 14 October 2019 / Published: 19 October 2019
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. View Full-Text
Keywords: Branciari type metric space; hybrid contraction; (p,c)-weight type ψ-contraction; (p,c)-weight type contraction; fixed point Branciari type metric space; hybrid contraction; (p,c)-weight type ψ-contraction; (p,c)-weight type contraction; fixed point
MDPI and ACS Style

Abodayeh, K.; Karapınar, E.; Pitea, A.; Shatanawi, W. Hybrid Contractions on Branciari Type Distance Spaces. Mathematics 2019, 7, 994.

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