  We consider a massive black hole in four dimensional AdS space and study the
effect of thermal fluctuations on the thermodynamics of the black hole. We
consider thermal fluctuations as logarithmic correction terms in the entropy.
We analyse the effect of logarithmic correction on thermodynamics potentials
like Helmholtz and Gibbs which are found decreasing functions. We study
critical points and stability and find that presence of logarithmic correction
is necessary to have stable phase and critical point.
