22 citations · 34 across the 7 of their papers we have counts for
9 papers
Extension of isometries in real Hilbert spaces
Soon-Mo Jung
In this paper, the notions of first-order and second-order generalized linear spans and index set are defined. Moreover, their properties are investigated and applied to the studie…
Hyers-Ulam stability of isometries on bounded domains
Soon-Mo Jung
More than 20 years after Fickett attempted to prove the Hyers-Ulam stability of isometries defined on bounded subsets of in 1981, Väisälä improved Fickett's result s…
The conjecture of Ulam on the invariance of measure on Hilbert cube
Soon-Mo Jung
A conjecture of Ulam states that the standard probability measure on the Hilbert cube is invariant under the induced metric when the sequence of pos…
On the stability of the linear functional equation in a single variable on complete metric groups
Soon-Mo Jung, Dorian Popa, Michael Th. Rassias
In this paper we obtain a result on Hyers-Ulam stability of the linear functional equation in a single variable on a complete metric group.
Approximately Quadratic Mappings on Restricted Domains
Abbas Najati And Soon-Mo Jung
In this paper, we introduce a generalized quadratic functional equation where are nonzero real numbers with We show th…
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…