1 citations · 1 across the 6 of their papers we have counts for
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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…
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…