Fixed points for a sequence of \(\mathcal{L}\)-fuzzy mappings in non-Archimedean ordered modified intuitionistic fuzzy metric spaces
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Authors
M. A. Ahmed
- Department of Mathematics, Faculty of Science, Al-Zulfi, Majmaah University, Majmaah 11952, Saudi Arabia.
- Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
Ismat Beg
- Centre for Mathematics and Statistical Sciences, Lahore School of Economics, Lahore 53200, Pakistan.
S. A. Khafagy
- Department of Mathematics, Faculty of Science, Al-Zulfi, Majmaah University, Majmaah 11952, Saudi Arabia.
- Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
H. A. Nafadi
- Department of Mathematics, Deanship of Preparatory Programs, Al-Imam Muhammad Ibn Saud Islamic University, Riyadh, Saudi Arabia.
Abstract
In this paper, we obtain sufficient conditions for the existence of fixed points
for a sequence of \(\mathcal{L}\)-fuzzy mappings in a non-Archimedean ordered
modified intuitionistic fuzzy metric space. We use contractive conditions of
implicit relation. Further, as an application, we also generalize our usual
contractive conditions into integral contractive conditions.
Share and Cite
ISRP Style
M. A. Ahmed, Ismat Beg, S. A. Khafagy, H. A. Nafadi, Fixed points for a sequence of \(\mathcal{L}\)-fuzzy mappings in non-Archimedean ordered modified intuitionistic fuzzy metric spaces, Journal of Nonlinear Sciences and Applications, 14 (2021), no. 2, 97--108
AMA Style
Ahmed M. A., Beg Ismat, Khafagy S. A., Nafadi H. A., Fixed points for a sequence of \(\mathcal{L}\)-fuzzy mappings in non-Archimedean ordered modified intuitionistic fuzzy metric spaces. J. Nonlinear Sci. Appl. (2021); 14(2):97--108
Chicago/Turabian Style
Ahmed, M. A., Beg, Ismat, Khafagy, S. A., Nafadi, H. A.. "Fixed points for a sequence of \(\mathcal{L}\)-fuzzy mappings in non-Archimedean ordered modified intuitionistic fuzzy metric spaces." Journal of Nonlinear Sciences and Applications, 14, no. 2 (2021): 97--108
Keywords
- Ordered modified intuitionistic fuzzy metric
- \(\mathcal{L}\)-fuzzy mappings
- fixed points
MSC
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