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Ghaemi, Mohammad Bagher,Choubin, Mehdi,Saadati, Reza,Park, Choonkil,Shin, Dong Yun Eudoxus Press LLC 2016 Journal of computational analysis and applications Vol.21 No.1
<P>In this paper, we present a fixed point method to prove the Hyers-Ulam stability of the system of Euler-Lagrange quadratic-quartic functional equations {f(ax(1) + bx(2), y) + f(bx(1) + ax(2), y) + ab f(x(1) - x(2), y) = (a(2) + b(2))[f(x(1), y) + f(x(2), y)] + 4ab f(x(1)+x(2)/2, y), f(x, ay(1) + by(2)) + f(x, by(1) + ay(2)) + 1/2ab(a - b)(2) f(x, y(1) - y(2)) = (a(2) -b(2))(2)[f(x, y(1)) + f(x, y(2))] + 8ab f(x, y(1)+y(2)/2) for all numbers a and b with a + b is not an element of {0, +/- 1}, ab + 2 not equal 2(a + b)(2) and ab(a - b)(2) + 4 not equal 4(a + b)(4) in Archimedean and non-Archimedean Banach spaces and we show that the approximation in non-Archimedean Banach spaces is better than the approximation in (Archimedean) Banach spaces.</P>
APPROXIMATELY QUINTIC AND SEXTIC MAPPINGS ON THE PROBABILISTIC NORMED SPACES
Ghaemi, Mohammad Bagher,Majani, Hamid,Gordji, Majid Eshaghi Korean Mathematical Society 2012 대한수학회보 Vol.49 No.2
We prove the stability for the systems of quadratic-cubic and additive-quadratic-cubic functional equations with constant coefficients on the probabilistic normed spaces (briefly PN spaces).
APPROXIMATELY QUINTIC AND SEXTIC MAPPINGS ON THE PROBABILISTIC NORMED SPACES
Mohammad Bagher Ghaemi,Hamid Majani,Majid Eshaghi Gordji 대한수학회 2012 대한수학회보 Vol.49 No.2
We prove the stability for the systems of quadratic-cubic and additive-quadratic-cubic functional equations with constant coefficients on the probabilistic normed spaces (briefly PN spaces).
A General System of Nonlinear Functional Equations in Non-Archimedean Spaces
Ghaemi, Mohammad Bagher,Majani, Hamid,Gordji, Madjid Eshaghi Department of Mathematics 2013 Kyungpook mathematical journal Vol.53 No.3
In this paper, we prove the generalized Hyers-Ulam-Rassias stability for a system of functional equations, called general system of nonlinear functional equations, in non-Archimedean normed spaces and Menger probabilistic non-Archimedean normed spaces.
A Fixed Point Approach to Stability of Quintic Functional Equations in Modular Spaces
GHAEMI, MOHAMMAD BAGHER,CHOUBIN, MEHDI,SADEGHI, GHADIR,GORDJI, MADJID ESHAGHI Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.2
In this paper, we present a fixed point method to prove generalized Hyers-Ulam stability of the systems of quadratic-cubic functional equations with constant coefficients in modular spaces.