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20022026
most citedA Fixed Point Approach to Stability of a Quadratic Equation

191 citations · 1.6k across the 128 of their papers we have counts for

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Showing 2005Show all

22 papers · 1 filter

math.FA2005

-derivations on -triples

C. Baak, M. S. Moslehian

We introduce the concept of -derivations on -triples, and prove the Hyers--Ulam--Rassias stability of -derivations on -triples.

math.FA2005★ 191 cited

A Fixed Point Approach to Stability of a Quadratic Equation

M. Mirzavaziri, M. S. Moslehian

Using the fixed point alternative theorem we establish the orthogonal stability of quadratic functional equation of Pexider type , where are m…

math.FA2005★ 22 cited

Satbility of Ternary Homomorphisms via Generalized Jensen Equation

Mohammad Sal Moslehian, Laszlo Szekelyhidi

In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\f…

math.FA2005★ 22 cited

Stability of Generalized Jensen Equation on Restricted Domains

Soon-Mo Jung, Mohammad Sal Moslehian, Prasanna K. Sahoo

In this paper, we establish the conditional Hyers-Ulam-Rassias stability of the generalized Jensen functional equation $r f \left (\frac{sx+ty}{r}) = s g(x) + t h(y)$ on various re…

math-ph2005★ 56 cited

Approximate Homomorphisms of Ternary Semigroups

M. Amyari, M. S. Moslehian

A mapping between ternary semigroups will be called a ternary homomorphism if . In this paper, we prove the generalized…

math.FA2005

Approximate -Ternary Ring Homomorphisms

Mohammad Sal Moslehian

In this paper, we establish the generalized Hyers--Ulam--Rassias stability of -ternary ring homomorphisms associated to the Trif functional equation \begin{eqnarray*} d \cdot…