What was the term used by contemporaries for the Vijayanagara Empire?

NCERT (2026-27): “2. Rayas, Nayakas and Sultans … On their northern frontier, the Vijayanagara kings competed with contemporary rulers – including the Sultans of the Deccan and the Gajapati rulers of Orissa – for control of the fertile river valleys and the resources generated by lucrative overseas trade. At the same time, interaction between these states led to sharing of ideas, especially in the field of architecture. The rulers of Vijayanagara borrowed concepts and building techniques which they then developed further.

Karnataka samrajyamu … While historians use the term Vijayanagara Empire, contemporaries described it as the karnataka samrajyamu.…”