EGUP-corrected Bardeen black hole thermodynamics with quintessence matter

In this work, the thermodynamics of the Bardeen black hole with quintessence matter associated with dark energy in the context of the extended generalized uncertainty principle is investigated. The corrections to the Hawking temperature, heat capacity, and entropy are obtained via a heuristic method. These modifications show that the modified uncertainty principles and normalization factor will restrict the lower bound value of horizon radius to affect the Hawking temperature, the remnant temperature and mass do not depend on the extended uncertainty principle parameter and the quintessence matter will not affect the entropy of the Bardeen black hole. In addition, the equation of state associated with the pressure and the volume are examined.