On Some Recent Results Concerning F-Suzuki-Contractions in b-Metric Spaces

The purpose of this manuscript is to provide much simpler and shorter proofs of some recent significant results in the context of generalized F-Suzuki-contraction mappings in b-complete b-metric spaces. By using our new approach for the proof that a Picard sequence is b-Cauchy, our results generaliz...

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Bibliographic Details
Published in:Mathematics (Basel) 2020-06, Vol.8 (6), p.940
Main Authors: Gilić, Ersin, Dolićanin-Đekić, Diana, Mitrović, Zoran D., Pučić, Dženis, Aydi, Hassen
Format: Article
Language:English
Subjects:
b-metric space
Banach principle
F-Suzuki-contractive mapping
fixed point
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Summary:The purpose of this manuscript is to provide much simpler and shorter proofs of some recent significant results in the context of generalized F-Suzuki-contraction mappings in b-complete b-metric spaces. By using our new approach for the proof that a Picard sequence is b-Cauchy, our results generalize, complement and improve many known results in the existing literature. Further, some new contractive conditions are provided here to illustrate the usability of the obtained theoretical results.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8060940