Fima is a diminutive form of the name Yefim, which is of Russian origin. It is often used as a nickname or a shorter version of the name. The name Yefim itself is derived from the Greek name 'Euphemios', meaning 'well-spoken' or 'auspicious speech'. Fima can also refer to various entities such as an Israeli artist, the Federation of Islamic Medical Associations, and the Fellow of the Institute of Mathematics and its Applications.