Abstract
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.
Highlights
Introduction and preliminariesIt is exactly one hundred years since S
Many researchers have been trying to generalize that significant result in Mitrović, Z. et al, Revisiting and revamping some novel results in F-metric spaces, pp.338–354 many directions
New classes of metric spaces were created and the renowned results were extended to these spaces
Summary
Introduction and preliminariesIt is exactly one hundred years since S. Let F be the set of functions f : (0, +∞) → (−∞, +∞) satisfying the following conditions: F1) f is non-decreasing, F2) For every sequence {tn} ⊂ (0, +∞) , we have lim n→+∞ A function dF : X × X → [0, +∞) is called a F-metric on X if there exists (f, α) ∈ F × [0, +∞) such that for all x, y ∈ X the following conditions hold: (dF 1) dF (x, y) = 0 if and only if x = y.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
