The Ulam stability problem in approximation of approximately quadratic mappings by quadratic mappings.
On the refined Heisenberg-Weyl type inequality.
On the Heisenberg-Weyl inequality.
On the sharpened Heisenberg-Weyl inequality.
On the Heisenberg-Pauli-Weyl inequality.
On the Ulam problem for Euler quadratic mappings.
Stability of the Jensen-type functional equation in -algebras: a fixed point approach.
A fixed point approach to the stability of a functional equation of the spiral of Theodorus.
Stability of general Newton functional equations for logarithmic spirals.
Stability of a generalized mixed type additive, quadratic, cubic and quartic functional equation.
Superstability for generalized module left derivations and generalized module derivations on a Banach module. II.
On the stability of a general mixed additive-cubic functional equation in random normed spaces.
A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces.
Stability problem of Ulam for Euler-Lagrange quadratic mappings.
Extended stability problem for alternative Cauchy-Jensen mappings.
A fixed point approach to the stability of quintic and sextic functional equations in quasi--normed spaces.
Solution of a Cauchy-Jensen stability Ulam type problem
In 1978 P. M. Gruber (Trans. Amer. Math. Soc. 245 (1978), 263–277) imposed the following general problem or Ulam type problem: “Suppose a mathematical object satisfies a certain property approximately. Is it then possible to approximate this objects by objects, satisfying the property exactly?" The afore-mentioned problem of P. M. Gruber is more general than the following problem imposed by S. M. Ulam in 1940 (Intersci, Publ., Inc., New York 1960): “Give conditions in order for a linear mapping...
Solution of a quadratic stability Ulam type problem
In 1940 S. M. Ulam (Intersci. Publ., Inc., New York 1960) imposed at the University of Wisconsin the problem: “Give conditions in order for a linear mapping near an approximately linear mapping to exist”. According to P. M. Gruber (Trans. Amer. Math. Soc. 245 (1978), 263–277) the afore-mentioned problem of S. M. Ulam belongs to the following general problem or Ulam type problem: “Suppose a mathematical object satisfies a certain property approximately. Is it then possible to approximate this objects...
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