Decision-making on the solution of non-linear dynamical systems of Kannan non-expansive type in Nakano sequence space of fuzzy numbers

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.