@misc{Babiarz_Artur_Schauder`s, author={Babiarz, Artur and Klamka, Jerzy (1944- ) and Niezabitowski, Michał}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder`s fixed-point theorem. We describe the results of approximate controllability for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions, impulsive neutral functional evolution integro-differential systems, stochastic impulsive systems with control-dependent coefficients, nonlinear impulsive differential systems, and evolution systems with nonlocal conditions and semilinear evolution equation.}, type={artykuł}, title={Schauder`s fixed-point theorem in approximate controllability problems}, keywords={approximate controllability, Banach space, Hilbert space, Schauder`s fixed-point theorem, infinite-dimensional space}, }