'Rivalry' in the Bible

Some, to be sure, are preaching Christ from envy and rivalry, but others from goodwill.

the one, indeed, of rivalry the Christ do proclaim, not purely, supposing to add affliction to my bonds,

the others proclaim Christ out of rivalry, not sincerely, seeking to cause me anxiety in my imprisonment.

Do nothing out of rivalry or conceit, but in humility consider others as more important than yourselves.