Naudts-like duality and the extreme Fisher information principle
  We show that using the most parsimonious version of Frieden and Soffer's extreme information principle (EPI) with a Fisher measure constructed with escort probabilities, the concomitant solutions obey a type of Naudts' duality for nonextensive ensembles. We also determine in closed form the general (normalized) probability distribution that minimizes Fisher's information. 
L. P. Chimento, F. Pennini and A. Plastino