Decision making on the mappings' ideal solution of a fuzzy non-linear matrix system of Kannan-type

Abstract

Since proving many fixed point theorems in a given space requires either growing the space itself or growing the selfmapping that works on it, both of these options are good. The operators' ideal generated by a weighted binomial matrix in the Nakano sequence space of extended s-fuzzy functions is constructed. Some structures for it based on geometry and topology are presented. It has been proven that the Kannan contraction operator has a unique fixed point in this class. Lastly, sufficient conditions such that a fuzzy non-linear matrix system of Kannan-type has a unique solution in this ideal class are investigated and a numerical example to explain our results are given.

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

“…Te pssff [H F ] ς is called a prequasi normed pssff (p-qN-pssff) if ς holds the parts (d1)-(d3) of Defnition 12. Te space [H F ] ς is called a prequasi Banach pssff (p-qB-pssff); assume H F is complete under ς. Theorem 14 (see [10]). Te space [H F ] ς is a p-qN-pssff; assume it is p-m-pssff.…”

“…Mursaleen and Noman [8] examined some new sequence spaces of nonabsolute type related to the spaces l p and l ∞ , and Mursaleen and Bas ¸ar [9] constructed and investigated the domain of the C 1 matrix in some spaces of double sequences. Mustafa and Bakery [10] introduced the concept of the private sequence space of fuzzy functions (pssff). Suppose R is the set of real numbers and N 0 is the set of nonnegative integers.…”

“…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.…”