Modified dispersion relations and (A)dS Schwarzschild black holes

In this Letter we investigate the impact of modified dispersion relations (MDR) on (Anti)de Sitter–Schwarzschild black holes. In this context we find the temperature of black holes can be derived with important corrections. In particular given a specific MDR the temperature has a maximal value such that it can prevent black holes from total evaporation. The entropy of the (A)dS black holes is also obtained with a logarithmic correction.