1 citations · 1 across the 6 of their papers we have counts for
6 papers
Fundamental theorem of asset pricing: a strengthened version and -summable markets
Andrei Lebedev, Petr Zabreiko
In the article a strenthened version of the 'Fundamental Theorem of asset Pricing' for one-period market model is proven. The principal role in this result play total and nonanihil…
M.A. Krasnoselskii theorem and iteration methods of solving ill-posed linear problems with a self-adjoint operator
O. V. Matysik, P. P. Zabreiko
The article deals with iterative methods of solving linear operator equations and with self-adjoint operators in Hilbert space in critical case when $ρ(B)…
Majorization fixed point principle and application to nonlinear integral equations
Y. V. Korots, P. P. Zabreiko
The successive approximations method allows us to solve problems concerning existence and uniqueness of fixed points of wide classes of operators. The classical result in this fiel…
Gantmakher-Krein theorem for 2-totally nonnegative operators in ideal spaces
Olga Y. Kushel, Petr P. Zabreiko
The tensor and exterior squares of a completely continuous non-negative linear operator acting in the ideal space are studied. The theorem representing the point spectru…
A class of iterative methods for solving nonlinear operator equations
O. N. Evkhuta, P. P. Zabreiko
The article deals with gradient-like iterative methods for solving nonlinear operator equations on Hilbert and Banach spaces. The authors formulate a general principle of studying…
Modular estimates in Orlicz spaces and Hammerstein operator equations
A. V. Lebedev, P. P. Zabreiko
Certain inequalities between the values of the modular and the norm in the Orlicz spaces are established. These inequalities are applied then to the theory of solvability of nonlin…