FIXED POINT THEOREMS FOR (𝜙, F)-CONTRACTION IN GENERALIZED ASYMMETRIC METRIC SPACES
Fixed Point Theorems for (φ, F)-contraction in Generalized Asymmetric Metric Spaces
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2022, v.29 no.4, pp.369-399
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.369
Rossafi, Mohamed
(LASMA Laboratory Department of Mathematics, Faculty of Sciences, Dhar El Mahraz University)
Kari, Abdelkarim
(Laboratory of Algebra, Analysis and Applications, Faculty of Sciences Ben M'Sik, Hassan II University)
Lee, Jung Rye
(Department of Data Science, Daejin University)
Rossafi, Mohamed,
Kari, Abdelkarim,
&
Lee, Jung Rye.
(2022). FIXED POINT THEOREMS FOR (𝜙, F)-CONTRACTION IN GENERALIZED ASYMMETRIC METRIC SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 29(4), 369-399, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.369
Abstract
In the last few decades, a lot of generalizations of the Banach contraction principle have been introduced. In this paper, we present the notion of (𝜙, F)-contraction in generalized asymmetric metric spaces and we investigate the existence of fixed points of such mappings. We also provide some illustrative examples to show that our results improve many existing results.
- keywords
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fixed point,
generalized asymmetric metric space,
<tex> ${\theta}-{\phi}$</tex>-contraction,
(<tex> ${\phi}$</tex>,
F)-contraction