The name Ingvar is an Norse first name for males, common in Scandinavia, meaning protected by Ing (i.e. Freyr). Many notable Scandinavians have had this name, for example Ingvar Kamprad, and the legendary Swedish king Ingvar.
The feminine version is Inga.
The first element of the name is derived from Proto-Norse *Ing(w)ia (Ingi-), i.e. Yngvi, which was the original name of the god Freyr. The second element is probably either *Harjaz (warrior) or *Warjaz (defender). The name consequently either meant Freyr's warrior or Freyr's defender.
Igor (ukr. Ihor, bel. Ihar) is a given name derived from the Scandinavian name Ingvar, that was brought to ancient Ruthenia by the Vikings (Ingvar or Yngvar). Igor (Rurik's son) conquered Kiev.