Thermodynamic extremality relations in massive gravity *

A universal relation between the leading correction to entropy and extremality was gotten in work of Goon Penco. In this paper, we extend massive gravity investigate thermodynamic relations a topologically higher-dimensional black hole. rescaled cosmological constant is added action as perturbative correction. This modifies bound hole leads shifts mass, entropy, etc. The Goon-Penco gotten. Regarding variable related pressure, get mass charge, parameters $c_i$ by accurate calculations, respectively. Finally, these are verified triple product identity, which shows that exists holes.