An implicit iterative scheme for an infinite countable family of asymptotically nonexpansive mappings in Banach spaces.
An index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An iteration method for nonexpansive mappings in Hilbert spaces.
An iterative approximation method for a countable family of nonexpansive mappings in Hilbert spaces.
An iterative method for solving the generalized system of relaxed cocoercive quasivariational inclusions and fixed point problems of an infinite family of strictly pseudocontractive mappings.
An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise
An optimal control problem for an elliptic variational inequality
Analysis of a Damped Nonlinear Multilevel Method.
Application of Rothe's method to parabolic variational inequalities
Approximate proximal point algorithms for finding zeroes of maximal monotone operators in Hilbert spaces.
Asymptotic behavior of solutions of nonlinear functional differential equations.
Attractors of Strongly Dissipative Systems
A class of infinite-dimensional dissipative dynamical systems is defined for which there exists a unique equilibrium point, and the rate of convergence to this point of the trajectories of a dynamical system from the above class is exponential. All the trajectories of the system converge to this point as t → +∞, no matter what the initial conditions are. This class consists of strongly dissipative systems. An example of such systems is provided by passive systems in network theory (see, e.g., MR0601947...