scholarly journals The stability of the quadratic functional equation on amenable groups

2004 ◽  
Vol 291 (2) ◽  
pp. 666-672 ◽  
Author(s):  
Dilian Yang
Keyword(s):  
Functional Equation ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Amenable Groups ◽  
The Stability

scholarly journals Stability of ann-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-15
Author(s):  
Yang-Hi Lee ◽  
Soon-Mo Jung
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Mixed Type ◽  
Fixed Point Method ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Normed Spaces ◽  
Stability Problems ◽  
Random Normed Spaces ◽  
The Stability

We investigate the stability problems for then-dimensional mixed-type additive and quadratic functional equation2f(∑j=1nxj)+∑1≤i,j≤n,  i≠jf(xi-xj)=(n+1)∑j=1nf(xj)+(n-1)∑j=1nf(-xj)in random normed spaces by applying the fixed point method.

scholarly journals An additive-quadratic functional equation in intuitionistic fuzzy normed spaces

10.26524/cm83 ◽  
2020 ◽  
Vol 4 (2) ◽  
Author(s):  
Soundararajan S ◽  
Suresh Kumar M ◽  
Sudhakar R
Keyword(s):  
Functional Equation ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Normed Spaces ◽  
Intuitionistic Fuzzy ◽  
The Stability ◽  
Intuitionistic Fuzzy Normed Spaces

In this work, we investigate the stability of additive-quadratic (AQ) functional equation in intuitionistic fuzzy normed spaces

The stability of some generalization of the quadratic functional equation

2014 ◽  
Vol 21 (4) ◽  
Author(s):  
Radosław Łukasik
Keyword(s):  
Functional Equation ◽  
Stability Result ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
The Stability

AbstractIn this paper we prove the stability result for the functional equation (1/

scholarly journals Stability of Pexiderized Quadratic Functional Equation in Random 2-Normed Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Mohammed A. Alghamdi
Keyword(s):  
Functional Equation ◽  
Normed Space ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Normed Spaces ◽  
The Stability

The aim of this paper is to investigate the stability of Hyers-Ulam-Rassias type theorems by considering the pexiderized quadratic functional equation in the setting of random 2-normed spaces (RTNS), while the concept of random 2-normed space has been recently studied by Goleţ (2005).

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