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.

Fuzzy Differential Subordination Associated with a General Linear Transformation

“…Real and complex order integrals and derivatives have shown promise in mathematical modeling and analysis of practical issues in the sciences, and this work has made an impact on the study of geometric functions. A novel model of the human liver [14] and an examination of the dynamics of dengue transmission [15] are only two examples of the kind of research that can be considered part of the aforementioned field; and see [16][17][18][19]. The family of integral operators connected to the first-kind Lommel functions was introduced in [20], and has important applications in both pure and applied mathematics.…”