Are these two objects in cockpit of Antonov - AN 225 Mriya fans for air? What is their purpose?
They are indeed &quot;Soviet style air conditioning&quot;. You will see them in other Eastern-bloc aircraft too. We even had them in the Shorts Skyvan. They are operated by a simple on-off switch and can be swiveled to point in the direction chosen by the pilots. The fan blades are made of rubber so they won't cause injury if one's hand inadvertently comes into contact with them. In this picture of the Skyvan, you can see the fan (arrowed) and the switch (circled).

Here is another airplane with the ubiquitous Soviet Air Conditioning system, Tupolev 154.