Once the Cantabrian wars were over, the conquest of the Empire in Iberia came to an end. Some 200 years of colonization and Romanization, a process of assimilation of the Roman way of life and its culture, in which the barbarian pre-Roman peoples fought and heroically resisted.
The adhesion and seduction of the barbarian peoples —Celtic Hispania— to Rome was a natural process. The society of leaderships - of merit, of lineage, of heroic ethics - of the Indo-European world - aristocratic, hierarchical and warrior -, that backbones the Iberian barbarians, find in Rome and its metaphysical ideal of Imperium - with the cult, oath and loyalty to the emperor, who along with heroes and kings are pontifex, bridges between heaven and earth — a continuation of his spiritual and warlike worldview, but on a much higher political scale.
Roman Hispania would comprise from the Roman landing in Ampurias between 218 BC. and the beginning of the V century with the Visigothic entry. It was fundamental for the Empire and the cradle of great rulers.
The Romans called the Iberian Peninsula Hispania. Etymologically there are many theories, from meaning it as the land of rabbits, or I-span-ya to the northern land (of Africa), where the Phoenicians lived. Or land where metals are forged, or even called Hispalis, a word of Iberian origin that would mean the western city. Although for the Greeks it would initially be the Ophioússa Peninsula, land of snakes.
Ispania the Romans listened to the Carthaginians and Iber what the Greeks heard. These finally named it Iberia. The Romans stayed with Hispania.