In this manuscript, we investigate the effects of a modified dispersion
relation on the thermodynamics of Schwarzschild black hole surrounded by the
quintessence matter. We find that the MDR-correction states the same lower
bound on the horizon, while the quintessence matter specifies the upper bound
to the horizon depending on the state parameter. Due to MDR-correction and
quintessence matter presence, we observe modifications in equation of state and
specific heat functions of black hole. We show that a remnant can occur
according to quintessence matter, and the black hole’s stability depends only
on the modified dispersion relation.

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