Prequasiideal of the type weighted binomial matrices in the Nakano sequence space of soft functions with some applications

Consider the space of weighted binomial matrices in the Nakano sequence space of soft functions. We have offered some geometric and topological structures of the multiplication operator acting on this space and its associated operator ideal. The existence of a fixed point of the Kannan contraction o...

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Bibliographic Details
Published in:Journal of inequalities and applications 2022-12, Vol.2022 (1), p.1-23, Article 152
Main Authors: Alsolmi, Meshayil M., Mustafa, Arafa O., Mohamed, Om Kalthum S. K., Bakery, Awad A.
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Banach spaces
Binomial matrix
Extended s-soft functions
Fuzzy sets
Kannan contraction mapping
Mathematics
Mathematics and Statistics
Multiplication & division
Multiplication mapping
Nakano sequence space
Operators (mathematics)
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Summary:Consider the space of weighted binomial matrices in the Nakano sequence space of soft functions. We have offered some geometric and topological structures of the multiplication operator acting on this space and its associated operator ideal. The existence of a fixed point of the Kannan contraction operator in this prequasioperator ideal is confirmed. Finally, we discuss many applications of solutions to nonlinear stochastic dynamical matrix systems and illustrative examples of our findings.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02892-z