  We probe the influence of Lorentz-violating mechanism, treated exactly, on
the radiative quantum corrections to critical exponents for massive
$q$-deformed O($N$) $\lambda\phi^{4}$ scalar field theories. We attain that
task by employing three distinct and independent field-theoretic
renormalization group methods. Firstly we compute the critical exponents up to
the finite next-to-leading order for then generalizing the results for any loop
level. We show that the $q$-deformed critical exponents are insensible to the
Lorentz symmetry breaking mechanism thus agreeing with the universality
hypothesis.
