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- M. Eshaghi Gordji, M. B. Ghaemi, H. Majani, C. Park
- 2010

We establish a generalized Ulam-Hyers stability theorem in a Šerstnev probabilistic normed space briefly, Šerstnev PN-space endowed with ΠM. In particular, we introduce the notion of approximate Jensen mapping in PN-spaces and prove that if an approximate Jensen mapping in a Šerstnev PN-space is continuous at a point then we can approximate it by an… (More)

- M. Eshaghi Gordji, M. B. Ghaemi, H. Majani, Yong Zhou
- 2010

- H R Dowson, M B Ghaemi, P G Spain
- 2003

We show that, given a weak compactness condition which is always satisfied when the underlying space does not contain an isomorphic copy of c 0 , all the operators in the weakly closed algebra generated by the real and imaginary parts of a family of commuting scalar-type spectral operators on a Banach space will again be scalar-type spectral operators,… (More)

We show that a quaternary Jordan derivation on a quaternary Banach algebra associated with the equation f (x + y + z 4) + f (3x − y − 4z 4) + f (4x + 3z 4) = 2f (x). is satisfied in generalized Hyers–Ulam stability.

- Khadijeh Baghaei, Mohammad Bagher Ghaemi, Mahmoud Hesaaraki
- Appl. Math. Lett.
- 2014

- M. Eshaghi Gordji, Y. J. Cho, M. B. Ghaemi, H. Majani
- 2014

and Applied Analysis 3 for x, y, z ∈ A. A Banach non-Archimedean ternary algebra is a normed non-Archimedean ternary algebra such that the normed non-Archimedean vector space with norm ‖ · ‖ is complete. The ternary algebras have been studied in nineteenth century. Their structures appeared more or less naturally in various domains of mathematical physics… (More)

In this article, we prove the Hyers-Ulam stability of exact second-order linear differential equations. As a consequence, we show the Hyers-Ulam stability of the following equations: second-order linear differential equation with constant coefficients, Euler differential equation, Hermite's differential equation, Cheybyshev's differential equation, and… (More)

- M. Eshaghi Gordji, Mohammad Bagher Ghaemi, Gwang Hui Kim, Badrkhan Alizadeh
- J. Applied Mathematics
- 2011

Let A be an algebra, and let θ, φ be ring automorphisms of A. An additive mapping H : A → A is called a θ, φ -derivation if H xy H x θ y φ x H y for all x, y ∈ A. Moreover, an additive mapping F : A → A is said to be a generalized θ, φ -derivation if there exists a θ, φ derivation H : A → A such that F xy F x θ y φ x H y for all x, y ∈ A. In this paper, we… (More)

- Mohammad Bagher Ghaemi, G. A. Afrouzi, S. H. Rasouli, M. Choubin
- Appl. Math. Lett.
- 2013

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