Fixed point results concerning α-F-contraction mappings in metric spaces

Lakshmi Kanta Dey, Poom Kumam, Tanusri Senapati

Abstract

In this paper, we introduce the notions of generalized α-F-contraction and modified generalized α-F-contraction. Then, we present sufficient conditions for existence and uniqueness of fixed points for the above kind of contractions. Necessarily, our results generalize and unify several results of the existing literature. Some examples are presented to substantiate the usability of our obtained results.


Keywords

metric space; fixed point; generalized α-F-contraction; modified generalized α-F-contraction

Subject classification

47H10; 54H25.

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References

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Cited-By (articles included in Crossref)

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1. On Recent Results Concerning F-Contraction in Generalized Metric Spaces
Jelena Vujaković, Slobodanka Mitrović, Mirjana Pavlović, Stojan Radenović
Mathematics  vol: 8  issue: 5  first page: 767  year: 2020  
doi: 10.3390/math8050767



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