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http://dx.doi.org/10.7468/jksmeb.2022.29.4.369

FIXED POINT THEOREMS FOR (𝜙, F)-CONTRACTION IN GENERALIZED ASYMMETRIC METRIC SPACES  

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)
Publication Information
The Pure and Applied Mathematics / v.29, no.4, 2022 , pp. 369-399 More about this Journal
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
fixed point; generalized asymmetric metric space; ${\theta}-{\phi}$-contraction; (${\phi}$, F)-contraction;
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