Search for: [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."]