Kannan Nonexpansive Operators on Variable Exponent Cesàro Sequence Space of Fuzzy Functions

Abstract

In general, we have constructed the operator ideal generated by extended s -fuzzy numbers and a certain space of sequences of fuzzy numbers. An investigation into the conditions sufficient for variable exponent Cesàro sequence space of fuzzy functions 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 nonexpansive mapping have been introduced. Lastly, we explore whether the Kannan contraction mapping has a fixed point in its associated pre-quasioperator ideal. The existence of solutions to nonlinear difference equations is illustrated with a few real-world examples and applications.

On a New Stochastic Space of Solution for the Volterra-Type Summable Equations of Fuzzy Functions

“…Defnition 34 (see [13]). A p-qN-pssff ς on H F holds the Fatou property (or in short FPr); presume for every…”

“…Mustafa and Bakery [10] investigated the unique solution of (4) of in the operators' ideal (or in short O.I) formed by a weighted binomial matrix in the variable exponent sequence space of extended s-fuzzy functions. Bakery and Mohammed [13] explained Kannan nonexpansive mappings on the variable exponent Cesàro sequence space of fuzzy functions. We can use the newly constructed stochastic space to explore more spaces of solutions for the fuzzy fractional evolution equations; see the following interesting articles: Abuasbeh et al [14], Niazi et al [15], and Iqbal et al's [16] studies.…”