Sri Vaishnavism no relation Bhakti movement
Krishnaism (IAST: Kṛṣṇaism) is a large group of independent Hindu traditions—sampradayas related to Vaishnavism—that center on the devotion to Krishna as Svayam Bhagavan, Ishvara, Para Brahman,  who is the source of all reality, not an avatar of Vishnu. This is its difference from such Vaishnavite groupings as Sri Vaishnavism, Sadh Vaishnavism, Ramaism, Radhaism, Sitaism etc. There is also a personal Krishnaism, that is devotion to Krishna outside of any tradition and community, as in the case of the saint-poet Meera Bai. Leading scholars do not define Krishnaism as a suborder or offshoot of Vaishnavism, considering it a parallel and no less ancient current of Hinduism.The teachings of the Bhagavad Gita can be considered as the first Krishnaite system of theology. Krishnaism originated in the late centuries BCE from the followers of the heroic Vāsudeva Krishna, which amalgamated several centuries later, in the early centuries CE, with the worshipers of the "divine child" Bala Krishna and the Gopala-Krishna traditions of monotheistic Bhagavatism. These non-Vedic traditions in Mahabharata canon affiliate itself with ritualistic Vedism in order to become acceptable to the orthodox establishment. Krishnaism becomes associated with bhakti yoga and bhakti movement in the Medieval period.
The most remarkable Hindu scriptures for the Krishnaites became Bhagavad Gita, Harivamsa (appendix to the Mahabharata), and Bhagavata Purana.History
Overview
Krishnaism originates in the first millennium BCE, as the theological system of the Bhagavad Gita, initially focusing on the worship of the heroic Vāsudeva Krishna in the region of Mathura, the "divine child" Bala Krishna and Gopala-Krishna. It is closely related to, and find its origin in, Bhagavatism.Krishnaism is a non-Vedic tradition in origin, but it further developed its appeal towards orthodox believers through the syncretism of these traditions with the Mahabharata epic. In particular Krishnaism incorporated more or less superficially the Vedic supreme deity Vishnu, who appears in the Rigveda. Krishnaism further becomes associated with bhakti yoga in the Medieval period.
no relation