Multiplication mappings on a new stochastic space of a sequence of fuzzy functions

Abstract

A number of topological and geometrical properties of the weighted Gamma matrix of order r in Nakano sequence space for fuzzy functions equipped with definite pre-modular functions are defined and investigated in this paper. We begin by defining the necessary conditions for the formation of pre-modular Banach in this space. Second, we specify the conditions under which the multiplication operator defined on this pre-modular space is bounded, approximable, invertible, Fredholm, and closed on the basis of this space.

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

“…Defnition 12 (see [19]). A subspace of the pssff is said to be a premodular pssff (p-m-pssff) if one has a function ς: H F ⟶ [0, ∞) which satisfes the following parts:…”

“…Defnition 13 (see [19]). Te pssff [H F ] ς is called a prequasi normed pssff (p-qN-pssff) if ς holds the parts (d1)-(d3) of Defnition 12.…”