Work

On a functional equation that has the quadratic-multiplicative property

Year: 2020

Type: article

Abstract: In this article, we obtain the general solution and prove the Hyers-Ulam stability of the following quadratic-multiplicative functional equation: ϕ ( s t − u v ) + ϕ ( s v + t u ) = [ ϕ ( s ) + ϕ ( u ) ] [ ϕ ( t ) + ϕ ( v ) ] \phi (st-uv)+\phi (sv+tu)={[}\phi (s)+\phi (u)]{[}\phi (t)+\phi (v)] by using the direct method and the fixed point method.

Source: Open Mathematics

DOI: 10.1515/math-2020-0032

Authors: Choonkil Park, Kandhasamy Tamilvanan, Ganapathy Balasubramanian, Batool Noori, Abbas Najati

Institutions: Hanyang University, Government of Tamil Nadu, University of Mohaghegh Ardabili

Language: English

Topic: Functional Equations Stability Results

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,187

Funders: National Research Foundation, National Research Foundation of Korea