Title of article
The Stability of Functional Equations in Quasi-normed Quasilinear Spaces
Author/Authors
Modarres Mosadegh ، Mohammad Sadegh Department of Mathematical Sciences - Faculty of Science - Yazd University , Dehvari ، Zahra Department of Mathematical Sciences - Faculty of Science - Yazd University
From page
1
To page
14
Abstract
In this article, we define quasi-normed quasilinear spaces and show that the space of all bounded quasilinear q-operators on this space is an Ω-space. Due to the importance of the problem of stability of functional equations in different spaces, many authors have studied the stability of functional equations in different spaces. Tabor proved the stability of the Cauchy functional equation in quasi-Banach spaces. We prove the stability of functional equations in quasi-normed quasilinear spaces.
Keywords
Quasilinear spaces , , Quasilinear q , operators , , Quasi , normed quasilinear spaces , , Stability of functional equations. ,
Journal title
Journal of Mathematical Extension(IJME)
Journal title
Journal of Mathematical Extension(IJME)
Record number
2774927
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