Please see this post on the discourse.
Essentially for the same input arguments and image the two functions produce significantly different results (all details with code and output in the in the link).
MATLAB adapthisteq

ImageContrastAdjustment.adjust_histogram

Please see this post on the discourse.
Essentially for the same input arguments and image the two functions produce significantly different results (all details with code and output in the in the link).
MATLAB

adapthisteqImageContrastAdjustment.adjust_histogram