On nonlinear stability in various random normed spaces

JM Rassias, R Saadati, G Sadeghi, J Vahidi - Journal of Inequalities and …, 2011 - Springer
In this article, we prove the nonlinear stability of the quartic functional equation 1 6 f (x+ 4 y)+
f (4 xy)= 3 0 6 9 fx+ y 3+ f (x+ 2 y)(1)+ 1 3 6 f (xy)-1 3 9 4 f (x+ y)+ 4 2 5 f (y)-1 5 3 0 f (x)(2)(3) …

[PDF][PDF] A fixed point approach to the stability of quintic and sextic functional equations in quasi--normed spaces

TZ Xu, JM Rassias, MJ Rassias, WX Xu - Journal of Inequalities and …, 2011 - Springer
Research Article A Fixed Point Approach to the Stability of Quintic and Sextic Functional
Equations in Quasi-β-Normed Spaces Page 1 Hindawi Publishing Corporation Journal of …

NEARLY TERNARY CUBIC HOMOMORPHISM IN TERNARY FRÉCHET ALGEBRAS.

S Shagholi, ME Gordji… - … Analysis & Applications, 2011 - search.ebscohost.com
Let A, B be two ternary algebras. A mapping H: A→ B is called a ternary cubic
homomorphism if H is a cubic function, which satisfies: H ([x, y, z])=[H (x), H (y), H (z)] for all …

A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C∗-ternary algebras

A Ebadian, N Ghobadipour… - Journal of Mathematical …, 2010 - pubs.aip.org
Let A be a C∗-ternary algebra. A C-bilinear T: A× A→ A is called a C∗-ternary algebra bi-
multiplier, if it satisfies T ([abc], d)=[T (a, b) cd]⁠, T (a,[bcd])=[ab T (c, d)] for all a, b, c, d∊ A⁠ …

Stability of the second order partial differential equations

ME Gordji, YJ Cho, MB Ghaemi, B Alizadeh - Journal of Inequalities and …, 2011 - Springer
We say that a functional equation (ξ) is stable if any function g satisfying the functional
equation (ξ) approximately is near to a true solution of (ξ). In this paper, by using Banach's …

On random topological structures

RP Agarwal, YJ Cho, R Saadati - Abstract and Applied Analysis, 2011 - Wiley Online Library
On Random Topological Structures - Agarwal - 2011 - Abstract and Applied Analysis - Wiley
Online Library Skip to Article Content Skip to Article Information Wiley Online Library Wiley …

Nearly Ring Homomorphisms and Nearly Ring Derivations on Non‐Archimedean Banach Algebras

ME Gordji - Abstract and Applied Analysis, 2010 - Wiley Online Library
We prove the generalized Hyers‐Ulam stability of homomorphisms and derivations on non‐
Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms …

AQCQ‐Functional Equation in Non‐Archimedean Normed Spaces

ME Gordji, R Khodabakhsh, SM Jung… - Abstract and Applied …, 2010 - Wiley Online Library
AQCQ‐Functional Equation in Non‐Archimedean Normed Spaces - Gordji - 2010 - Abstract and
Applied Analysis - Wiley Online Library Skip to Article Content Skip to Article Information Wiley …

Nearly radical quadratic functional equations in p-2-normed spaces

ME Gordji, H Khodaei, A Ebadian… - Abstract and applied …, 2012 - projecteuclid.org
Nearly Radical Quadratic Functional Equations in p-2-Normed Spaces Page 1 Hindawi
Publishing Corporation Abstract and Applied Analysis Volume 2012, Article ID 896032, 10 …

Approximation on the reciprocal functional equation in several variables in matrix non-Archimedean random normed spaces

A Ebadian, S Zolfaghari, S Ostadbashi… - Advances in Difference …, 2015 - Springer
Approximation on the reciprocal functional equation in several variables in matrix non-Archimedean
random normed spaces | Advances in Continuous and Discrete Models Skip to main content …