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

Alsolmi, Meshayil M.; Bakery, Awad A.;

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.


Other data

Title Multiplication mappings on a new stochastic space of a sequence of fuzzy functions
Authors Alsolmi, Meshayil M.; Bakery, Awad A. 
Keywords approximable mapping;Fredholm mapping;Gamma matrix;multiplication mapping;Nakano sequence space
Issue Date 1-Jan-2023
Journal Journal of Mathematics and Computer Science 
Volume 29
Issue 4
Start page 306
End page 316
ISSN 2008949X
DOI 10.22436/jmcs.029.04.01
Scopus ID 2-s2.0-85142493201

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