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TY - JOUR
AU - Radenović, Stojan
AU - Mirkov, Nikola S.
AU - Paunović, Ljiljana R.
PY - 2021
UR - https://vinar.vin.bg.ac.rs/handle/123456789/9800
AB - Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding the F-contractions in complete, ordinary metric space to 0-complete partial metric space and 0-complete metric-like space. As Popescu and Stan we use less conditions than D. Wardovski did in his paper from 2012, and we introduce, with the help of one of our lemmas, a new method of proving the results in fixed point theory. Requiring that the function F only be strictly increasing, we obtain for consequence new families of contractive conditions that cannot be found in the existing literature. Note that our results generalize and complement many well-known results in the fixed point theory. Also, at the end of the paper, we have stated an application of our theoretical results for solving fractional differential equations. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
T2 - Fractal and Fractional
T1 - Some new results on f-contractions in 0-complete partial metric spaces and 0-complete metric-like spaces
VL - 5
IS - 2
DO - 10.3390/fractalfract5020034
ER -
@article{
author = "Radenović, Stojan and Mirkov, Nikola S. and Paunović, Ljiljana R.",
year = "2021",
abstract = "Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding the F-contractions in complete, ordinary metric space to 0-complete partial metric space and 0-complete metric-like space. As Popescu and Stan we use less conditions than D. Wardovski did in his paper from 2012, and we introduce, with the help of one of our lemmas, a new method of proving the results in fixed point theory. Requiring that the function F only be strictly increasing, we obtain for consequence new families of contractive conditions that cannot be found in the existing literature. Note that our results generalize and complement many well-known results in the fixed point theory. Also, at the end of the paper, we have stated an application of our theoretical results for solving fractional differential equations. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.",
journal = "Fractal and Fractional",
title = "Some new results on f-contractions in 0-complete partial metric spaces and 0-complete metric-like spaces",
volume = "5",
number = "2",
doi = "10.3390/fractalfract5020034"
}
Radenović, S., Mirkov, N. S.,& Paunović, L. R.. (2021). Some new results on f-contractions in 0-complete partial metric spaces and 0-complete metric-like spaces. in Fractal and Fractional, 5(2).
https://doi.org/10.3390/fractalfract5020034
Radenović S, Mirkov NS, Paunović LR. Some new results on f-contractions in 0-complete partial metric spaces and 0-complete metric-like spaces. in Fractal and Fractional. 2021;5(2).
doi:10.3390/fractalfract5020034 .
Radenović, Stojan, Mirkov, Nikola S., Paunović, Ljiljana R., "Some new results on f-contractions in 0-complete partial metric spaces and 0-complete metric-like spaces" in Fractal and Fractional, 5, no. 2 (2021),
https://doi.org/10.3390/fractalfract5020034 . .
