Title of article :
The algebra fuzzy norm of the quotient space and pseudo algebra fuzzy normed space
Author/Authors :
Khudhair, Zainab A. Department of Applied Sciences - University of Technology, Baghdad, Iraq , Rmadhan Kider, Jehad School of Applied Sciences - University of Technology, Iraq
Abstract :
The principle aim of this article is to use the notion of algebra fuzzy normed space and its basic properties in order to introduce the notion of algebra fuzzy norm of the quotient space. If the quotient space is fuzzy complete then we prove that U is fuzzy complete. Also, we introduce the notion of pseudo algebra fuzzy normed space and investigate the basic properties of this space. In this direction we define a relation ∼ on U in order to introduce the space Uˆ of classes uˆ=[u]={z∈U:z∼u}. If U is pseudo algebra fuzzy normed space then we prove that Uˆ is algebra fuzzy normed space also if U is a fuzzy complete we prove that Uˆ is fuzzy complete.
Keywords :
Algebra fuzzy absolute space , Algebra fuzzy normed space , Fuzzy complete , Fuzzy bounded linear operator
Journal title :
International Journal of Nonlinear Analysis and Applications
