Decision-making on the solution of non-linear dynamical systems of Kannan non-expansive type in Nakano sequence space of fuzzy numbers
Authors
O. K. S. K. Mohamed
- Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi Arabia.
A. O. Mustafa
- College of Business at Khulis, University of Jeddah, Jeddah, Saudi Arabia.
A. A. Bakery
- Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, Saudi Arabia.
- Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Abbassia, Egypt.
Abstract
In general, we have constructed the operators ideal generated by extended $s$-fuzzy numbers and a certain space of sequences of fuzzy numbers. An investigation into the conditions sufficient for Nakano sequence space of fuzzy numbers furnished with the definite function to create pre-quasi Banach and closed is carried out. The (R) and the normal structural properties of this space are shown. Fixed points for Kannan contraction and non-expansive mapping have been introduced. Lastly, we explore whether the Kannan contraction mapping has a fixed point in its associated pre-quasi operator ideal. The existence of solutions to non-linear difference equations is illustrated with a few real-world examples and applications.
Share and Cite
ISRP Style
O. K. S. K. Mohamed, A. O. Mustafa, A. A. Bakery, Decision-making on the solution of non-linear dynamical systems of Kannan non-expansive type in Nakano sequence space of fuzzy numbers, Journal of Mathematics and Computer Science, 31 (2023), no. 2, 162--187
AMA Style
Mohamed O. K. S. K., Mustafa A. O., Bakery A. A., Decision-making on the solution of non-linear dynamical systems of Kannan non-expansive type in Nakano sequence space of fuzzy numbers. J Math Comput SCI-JM. (2023); 31(2):162--187
Chicago/Turabian Style
Mohamed, O. K. S. K., Mustafa, A. O., Bakery, A. A.. "Decision-making on the solution of non-linear dynamical systems of Kannan non-expansive type in Nakano sequence space of fuzzy numbers." Journal of Mathematics and Computer Science, 31, no. 2 (2023): 162--187
Keywords
- Pre-quasi norm
- hydrodynamics
- fuzzy numbers
- Nakano sequence space
- operator ideal
- Kannan non-expansive mappings
MSC
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