The book "Fixed Point Theory for Decomposable Sets" by Andrzej Fryszkowski offers a comprehensive examination of the theory of decomposable sets within the context of fixed point theory. Since the introduction of the concept by T. R. Rockafellar in 1968, the idea of decomposable sets has established itself as fundamental in nonlinear analysis, particularly in the theory of multifunctions. The work is divided into three main parts: first, it addresses the background of functional analysis, followed by the theory of multifunctions, and finally the property of decomposability. This book is aimed at mathematicians and students engaged in functional, convex, and nonlinear analysis, differential inclusions, and optimal control. A solid understanding of fixed point theory and topology is assumed.