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Volume 10
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10.3390/axioms10020071
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Article

On Convex F-Contraction in b-Metric Spaces

by
Huaping Huang
1,*,
Zoran D. Mitrović
2,
Kastriot Zoto
3 and
Stojan Radenović
4
1
School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China
2
Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
3
Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, 6001 Gjirokastra, Albania
4
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia
*
Author to whom correspondence should be addressed.
Axioms 2021, 10(2), 71; https://doi.org/10.3390/axioms10020071
Submission received: 4 March 2021 / Revised: 3 April 2021 / Accepted: 15 April 2021 / Published: 19 April 2021
(This article belongs to the Special Issue Special Issue in Honor of the 60th Birthday of Professor Hong-Kun Xu)
Versions Notes

Abstract

In this paper, we introduce a notion of convex F-contraction and establish some fixed point results for such contractions in b-metric spaces. Moreover, we give a supportive example to show that our convex F-contraction is quite different from the F-contraction used in the existing literature since our convex F-contraction does not necessarily contain the continuous mapping but the F-contraction contains such mapping. In addition, via some facts, we claim that our results indeed generalize and improve some previous results in the literature.
Keywords: F-contraction; convex F-contraction; fixed point; b-metric space F-contraction; convex F-contraction; fixed point; b-metric space

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MDPI and ACS Style

Huang, H.; Mitrović, Z.D.; Zoto, K.; Radenović, S. On Convex F-Contraction in b-Metric Spaces. Axioms 2021, 10, 71. https://doi.org/10.3390/axioms10020071

AMA Style

Huang H, Mitrović ZD, Zoto K, Radenović S. On Convex F-Contraction in b-Metric Spaces. Axioms. 2021; 10(2):71. https://doi.org/10.3390/axioms10020071

Chicago/Turabian Style

Huang, Huaping, Zoran D. Mitrović, Kastriot Zoto, and Stojan Radenović. 2021. "On Convex F-Contraction in b-Metric Spaces" Axioms 10, no. 2: 71. https://doi.org/10.3390/axioms10020071

APA Style

Huang, H., Mitrović, Z. D., Zoto, K., & Radenović, S. (2021). On Convex F-Contraction in b-Metric Spaces. Axioms, 10(2), 71. https://doi.org/10.3390/axioms10020071

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