• Jain view of 9 Vasudevas: In Jain universal history, there are nine Vasudevas (also called Narayan) who appear in every half-cycle of time. They stand as the male half of a triad that includes a Baladeva and a Prativasudeva, and they rule half the earth in each cycle. Among these nine, Krishna (Padma) is the 8th Vasudeva in the present descending half-cycle. The earlier Vasudevas have their own Baladevas and adversaries, just as in the Jain narration of universal history. This framework is kept consistent by both Digambar and Shwetambar traditions, with only minor textual variations in names or spellings. You can read more here.

• Correlation with Vishnu Dashavatara: In Hindu tradition, Dashavatara lists ten avatars of Vishnu, usually including Krishna as one of the avatars. Jain texts explicitly model the Vasudevas after popular Vaishnava figures (Krishna and related personalities), but they are not treated as identical to the Hindu Dashavatara sequence. In Jain sources, Krishna (Padma) is the 8th Vasudeva, and his elder brother Baladeva (Balarama) appears with him, while Prativasudeva (the adversary) is a separate figure. So there is literary influence and overlap—especially Krishna being prominent—but the Jain list and the Hindu Dashavatara are two distinct traditional schemata with different theological purposes. You can read more here.

If you’d like, I can summarize the exact names in order and note where Digambar and Shwetambar texts differ.