scholarly journals HYERS-ULAM-RASSIAS STABILITY OF LIE $*$-DERIVATIONS OF A CUBIC FUNCTIONAL EQUATION WITH THREE VARIABLES

2015 ◽  
Vol 104 (3) ◽  
Author(s):  
I.-S. Chang ◽  
H.-Y. Shin
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Lie Derivations ◽  
Rassias Stability

On the Hyers-Ulam-Rassias stability of an additive-cubic functional equation

2019 ◽  
Vol 13 (5) ◽  
pp. 213-221
Author(s):  
Sun-Sook Jin ◽  
Yang-Hi Lee
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Rassias Stability

scholarly journals Approximate Cubic Lie Derivations on ρ-Complete Convex Modular Algebras

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Hark-Mahn Kim ◽  
Hwan-Yong Shin
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
Cubic Functional Equation ◽  
Stability Results ◽  
Lie Derivations

In this article, we present generalized Hyers–Ulam stability results of a cubic functional equation associated with an approximate cubic Lie derivations on convex modular algebras χρ with Δ2-condition on the convex modular functional ρ.

scholarly journals The generalized Hyers–Ulam–Rassias stability of a cubic functional equation

2002 ◽  
Vol 274 (2) ◽  
pp. 867-878 ◽  
Author(s):  
Kil-Woung Jun ◽  
Hark-Mahn Kim
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Rassias Stability

scholarly journals On the Hyers-Ulam-Rassias stability of a general cubic functional equation

2003 ◽  
pp. 289-302 ◽  
Author(s):  
Kil-Woung Jun ◽  
Hark-Mahn Kim
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Rassias Stability

scholarly journals Solution and stability of a mixed type functional equation

Filomat ◽  
2017 ◽  
Vol 31 (5) ◽  
pp. 1229-1239 ◽  
Author(s):  
Pasupathi Narasimman ◽  
Abasalt Bodaghi
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Mixed Type ◽  
Cubic Functional Equation ◽  
The Stability ◽  
Rassias Stability

In this paper, we obtain the general solution and investigate the generalized Hyers-Ulam-Rassias stability for the new mixed type additive and cubic functional equation 3f(x+3y) - f(3x+y)=12[f(x+y)+f(x-y)] - 16[f(x)+f(y)]+12f(2y)-4f(2x). As some corollaries, we show that the stability of this equation can be controlled by the sum and product of powers of norms.

scholarly journals HYERS-ULAM-RASSIAS STABILITY OF A CUBIC FUNCTIONAL EQUATION

2007 ◽  
Vol 44 (4) ◽  
pp. 825-840 ◽  
Author(s):  
Abbas Najati
Keyword(s):  
Functional Equation ◽  
Cubic Functional Equation ◽  
Rassias Stability

Stability and non-stability of generalized radical cubic functional equation in quasi-$\beta$-Banach spaces

2019 ◽  
Vol 12 (3) ◽  
pp. 175-190
Author(s):  
Iz-iddine EL-Fassi ◽  
John Michael Rassias
Keyword(s):  
Functional Equation ◽  
Banach Spaces ◽  
Cubic Functional Equation

A fixed point approach to the stability of sextic Lie *-derivations

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4933-4944
Author(s):  
Dongseung Kang ◽  
Heejeong Koh
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
General Solution ◽  
Single Case ◽  
Fixed Point Method ◽  
Point Method ◽  
Fixed Point Approach ◽  
The Stability ◽  
The Given ◽  
Lie Derivations

We obtain a general solution of the sextic functional equation f (ax+by)+ f (ax-by)+ f (bx+ay)+ f (bx-ay) = (ab)2(a2 + b2)[f(x+y)+f(x-y)] + 2(a2-b2)(a4-b4)[f(x)+f(y)] and investigate the stability of sextic Lie *-derivations associated with the given functional equation via fixed point method. Also, we present a counterexample for a single case.

scholarly journals Solutions and the Generalized Hyers-Ulam-Rassias Stability of a Generalized Quadratic-Additive Functional Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
M. Janfada ◽  
R. Shourvazi
Keyword(s):  
Functional Equation ◽  
Additive Functional ◽  
Normed Spaces ◽  
Additive Functional Equation ◽  
General Solutions ◽  
Rassias Stability

We study general solutions and generalized Hyers-Ulam-Rassias stability of the following -dimensional functional equation , , on non-Archimedean normed spaces.

scholarly journals Non-Archimedean Hyers-Ulam-Rassias stability of m-variable functional equation

2012 ◽  
Vol 2012 (1) ◽  
pp. 111 ◽  
Author(s):  
H Azadi Kenary ◽  
H Rezaei ◽  
M Sharifzadeh ◽  
DY Shin ◽  
JR Lee
Keyword(s):  
Functional Equation ◽  
Rassias Stability
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