eponymize

From eponym +‎ -ize.

eponymize (third-person singular simple present eponymizes, present participle eponymizing, simple past and past participle eponymized)

1. (transitive) To name (something or someone) after oneself or another entity; to give an eponym as a name.
   • 1999, John Arthur Garraty, Mark Christopher Carnes, American Council of Learned Societies, American National Biography (volume 12, page 522)

     His name was eponymized in the Kelly pad for obstetrical and surgical tables, the Kelly cystoscope for visualization of the female bladder (he was the first to use air to inflate the bladder for examination and for catheterization of the ureters) […]