  In recent years, the thermodynamic properties of black holes are topics of
interests. We investigate the thermodynamic properties like surface gravity and
Hawking temperature on event horizon of regular black holes viz. {\it Hayward
Class} and {\it asymptotically AdS (Anti-de Sitter)} black holes. We also
analyze the {\it thermodynamic volume} and {\it naive geometric volume} of
asymptotically AdS black holes and show that the entropy of these black holes
is simply the ratio of the naive geometric volume to thermodynamic volume. We
plot the different graphs and interpret them physically. We derive the {\it
`cosmic-Censorship-Inequality'} for both type of black holes. Moreover, we
calculate {\it the thermal heat capacity} of aforesaid black holes and study
their stability in different regimes. Finally, we compute the logarithmic
correction to the entropy for both the black holes considering the quantum
fluctuations around the thermal equilibrium and study the corresponding
thermodynamics.
