Galerkin method operator differential equations with Lipschitz continuous coefficients
General ways of constructing accelerating Newton-like iterations on partially ordered topological spaces.
Generalized IFSs on noncompact spaces.
Generalized variational inequalities and associated nonlinear equations
Here we consider the solvability based on iterative algorithms of the generalized variational inequalities and associated nonlinear equations.
Geometric characteristics for convergence and asymptotics of successive approximations of equations with smooth operators
We discuss the problem of characterizing the possible asymptotic behaviour of the iterates of a sufficiently smooth nonlinear operator acting in a Banach space in small neighbourhoods of a fixed point. It turns out that under natural conditions, for the most part of initial approximations these iterates tend to "lie down" along a finite-dimensional subspace generated by the leading (peripherical) eigensubspaces of the Fréchet derivative at the fixed point and moreover the asymptotic behaviour of...
Gradient methods for the construction of Ljusternik-Schnirelmann critical values