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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.29 No.4

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Fixed Point Theorems for (φ, F)-­contraction in Generalized Asymmetric Metric Spaces

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Kari, Abdelkarim
Lee, Jung Rye
Rossafi,, M. , Kari,, A. , & Lee,, J. R. (2022). Fixed Point Theorems for (φ, F)-­contraction in Generalized Asymmetric Metric Spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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
fixed point, generalized asymmetric metric space, <tex> ${\theta}-{\phi}$</tex>-contraction, (<tex> ${\phi}$</tex>, F)-contraction

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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