  We propose a method to treat the three-gluon self-interaction vertex in the
position space in D = 4 - 2e dimensions. As an example, we calculate a two-loop
contribution to auxiliary Lcc vertex in the Landau gauge which contains the
three-gluon vertex for SU(N) Yang-Mills theory. We represent the integral
expression as a sum of separate contributions so that each of the contributions
is a double finite integral or single integral (singular or finite) in the
position space. In each double finite integral we use the freedom to shift
exponents in powers in the denominator of integrands by some multiples of e, in
order to perform at least one of the integrations by the uniqueness technique
without corrupting the first term of the decomposition in e.
