668 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institute for Research in Fundamental SciencesIR108 papers
- Damghan UniversityIR31 papers
- Islamic Azad University, MashhadIR13 papers
- K. N. Toosi University of TechnologyIR13 papers
- Farhangian UniversityIR12 papers
- Shahid Beheshti UniversityIR11 papers
- University of TehranIR11 papers
- Dublin City UniversityIE10 papers
- Golestan UniversityIR10 papers
- Centre National de la Recherche ScientifiqueFR9 papers
- Deakin UniversityAU9 papers
- Institute of Metal Superplasticity ProblemsRU9 papers
14 papers · 2 filters
-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.
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…
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…
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…
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…
A Kadison-Sakai Type Theorem
M. Mirzavaziri, M. S. Moslehian
The celebrated Kadison--Sakai theorem states that every derivation on a von Neumann algebra is inner. In this paper, we prove this theorem for ultraweakly continuous *-σ-derivation…
Automatic Continuity of -Derivations on -Algebras
Madjid Mirzavaziri, Mohammad Sal Moslehian
Let be a -algebra acting on a Hilbert space , be a linear mapping and be a -derivation. Generalizing the celebrated theorem of Sakai, we…
Vanishing of the first -cohomology group of triangular Banach algebras
M. Khosravi, M. S. Moslehian, A. N. Motlagh
In this paper, we define the first topological -cohomology group and examine vanishing of the first -cohomology groups of certain triangular Banach algebras. We apply…
Refinements of Reverse Triangle Inequalities in Inner Product Spaces
Arsalan Hojjat Ansari, Mohammad Sal Moslehian
Refining some results of S. S. Dragomir, several new reverses of the triangle inequality in inner product spaces are obtained.
On (Co)Homology of Triangular Banach Algebras
Mohammad Sal Moslehian
Suppose that A and B are unital Banach algebras with units 1_A and 1_B, respectively, M is a unital Banach A-B-bimodule, T=Tri(A,M,B) is the triangular Banach algebra, X is a unita…
On the Stability of J*-Homomorphisms
Choonkill Baak, Mohammad Sal Moslehian
The main purpose of this paper is to prove the generalized Hyers-Ulam-Rassias stability of J*-homomorphisms between J*-algebras.
Superstability of adjointable mappings on Hilbert -modules
Michael Frank, Pasc Gavruta, Mohammad Sal Moslehian
We define the notion of -perturbation of a densely defined adjointable mapping and prove that any such mapping between Hilbert -modules over a fixed -alge…
Approximately Vanishing of Topological Cohomology Groups
Mohammad Sal Moslehian
In this paper, we establish the Pexiderized stability of coboundaries and cocycles and use them to investigate the Hyers--Ulam stability of some functional equations. We prove that…
Hyers-Ulam-Rassias Stability of Generalized Derivations
Mohammad Sal Moslehian
The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.