Caratheodory, radon, helly theorems for different conveixity classes and some applications

In this thesis, our aim is to conduct a literature is to conduct review of the Carathéodory, Radon and Helly theorems of convexity classes, the some applications of these theorems, their relations with each other. It is also to study the Carathéodory, Radon and Helly Theorems in the convexity classes put forward by this time and to produce ideas about new convexity classes that can be put forward by detecting some relations between them. In addition, this thesis was shown some applications proof and graphical expression of the Helly Theorem.