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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University of Defence in Belgrade
2021
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oai:doaj.org-article:3d74227625e8435e9886b45dc1d7d1772021-12-02T14:50:46ZRevisiting and revamping some novel results in F-metric spaces10.5937/vojtehg69-296150042-84692217-4753https://doaj.org/article/3d74227625e8435e9886b45dc1d7d1772021-04-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2021/0042-84692102338M.pdfhttps://doaj.org/toc/0042-8469https://doaj.org/toc/2217-4753Introduction/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.Zoran D. MitrovićMudasir YounisMiloje D. RajovićUniversity of Defence in Belgradearticlef-metric spacef-contractionfixed pointMilitary ScienceUEngineering (General). Civil engineering (General)TA1-2040ENVojnotehnički Glasnik, Vol 69, Iss 2, Pp 338-354 (2021) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
f-metric space f-contraction fixed point Military Science U Engineering (General). Civil engineering (General) TA1-2040 |
| spellingShingle |
f-metric space f-contraction fixed point Military Science U Engineering (General). Civil engineering (General) TA1-2040 Zoran D. Mitrović Mudasir Younis Miloje D. Rajović Revisiting and revamping some novel results in F-metric spaces |
| description |
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. |
| format |
article |
| author |
Zoran D. Mitrović Mudasir Younis Miloje D. Rajović |
| author_facet |
Zoran D. Mitrović Mudasir Younis Miloje D. Rajović |
| author_sort |
Zoran D. Mitrović |
| title |
Revisiting and revamping some novel results in F-metric spaces |
| title_short |
Revisiting and revamping some novel results in F-metric spaces |
| title_full |
Revisiting and revamping some novel results in F-metric spaces |
| title_fullStr |
Revisiting and revamping some novel results in F-metric spaces |
| title_full_unstemmed |
Revisiting and revamping some novel results in F-metric spaces |
| title_sort |
revisiting and revamping some novel results in f-metric spaces |
| publisher |
University of Defence in Belgrade |
| publishDate |
2021 |
| url |
https://doaj.org/article/3d74227625e8435e9886b45dc1d7d177 |
| work_keys_str_mv |
AT zorandmitrovic revisitingandrevampingsomenovelresultsinfmetricspaces AT mudasiryounis revisitingandrevampingsomenovelresultsinfmetricspaces AT milojedrajovic revisitingandrevampingsomenovelresultsinfmetricspaces |
| _version_ |
1718389441553235968 |