1. being the person after whom something is named
2. giving one's name to something (such as a book, movie, or place)

Examples

• The novel's eponymous hero is a man named David Copperfield.
• The band's eponymous debut album was released in 2015.
• The eponymous founder of the company, John Smith, started the business in 1990.
• The movie is named after its eponymous main character, Forrest Gump.
• The eponymous restaurant, named after its owner Maria, has been popular for decades.
• The eponymous protagonist of the story discovers a hidden treasure.
• The eponymous title character in 'Sherlock Holmes' is one of literature's most famous detectives.