Revisiting and revamping some novel results in F-metric spaces
Introduction/purpose: This article establishes several new contractive conditions in the context of so-called F-metric spaces. The main purpose was to generalize, extend, improve, complement, unify and enrich the already published results in the existing literature. We used only the property (F1)...
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| Autores principales: | , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
University of Defence in Belgrade
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/3d74227625e8435e9886b45dc1d7d177 |
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| Sumario: | Introduction/purpose: This article establishes several new contractive conditions
in the context of so-called F-metric spaces. The main purpose was to generalize,
extend, improve, complement, unify and enrich the already published results in
the existing literature. We used only the property (F1) of Wardowski as well as
one well–known lemma for the proof that Picard sequence is an F-Cauchy in the
framework of F-metric space.
Methods: Fixed point metric theory methods were used.
Results: New results are enunciated concerning the F-contraction of two mappings S and T in the context of F−complete F-metric spaces.
Conclusions: The obtained results represent sharp and significant improvements
of some recently published ones. At the end of the paper, an example is given,
claiming that the results presented in this paper are proper generalizations of
recent developments. |
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